Math / Algebra

QuestionEntertainment A group of 3 friends is planning a fun day trip. To raft down a river costs $\$ 6$ per person plus $\$ 20$ for transportation of the raft. An amusement park costs $\$ 11$ per person. A hot air balloon ride costs $\$ 30$ per person, but they have a $\$ 50$ group discount coupon. \begin{tabular}{|lr|} \hline Activity & \multicolumn{1}{c|}{ Cost (\) } \\ \hline Raft trip & 6 n+20=38 \\ Amusement Park & 11 \mathrm{n}=38 \\ Balloon Ride & 30 n-50=38$ \\ \hline \end{tabular}
The table shows equations for the total cost of each activity for $n$ people. Which activity should they choose if they want to spend exactly $\$ 38$ ?
The $\square$ would cost exactly $\$ 38$ . amusement park balloon ride raft trip

Studdy Solution

STEP 1

What is this asking? Three friends want to spend exactly $\$38$ on an activity, and we need to figure out which activity costs that much. Watch out! Don't forget there are three friends, so 'per person' costs need to be multiplied by 3!

STEP 2

1. Check the Raft Trip Cost
2. Check the Amusement Park Cost
3. Check the Hot Air Balloon Ride Cost

STEP 3

The raft trip costs $\$6$ per person plus a $\$20$ transportation fee.
There are three friends, so we multiply the per-person cost by 3 and add the transportation fee.

STEP 4

Let's calculate the total cost: $3 \cdot \$6 + \$20 = \$18 + \$20 = \$38$

STEP 5

Wow, the raft trip costs exactly $\$38$ !
That's what they wanted to spend!

STEP 6

The amusement park costs $\$11$ per person.
With three friends, we multiply the cost by 3.

STEP 7

Let's calculate the total cost: $3 \cdot \$11 = \$33$

STEP 8

The amusement park costs only $\$33$ , which is less than their $\$38$ budget.

STEP 9

The hot air balloon ride costs $\$30$ per person, but they have a $\$50$ group discount coupon.
For three friends, we multiply the per-person cost by 3 and then subtract the discount.

STEP 10

Let's calculate the total cost: $3 \cdot \$30 - \$50 = \$90 - \$50 = \$40$

STEP 11

The hot air balloon ride costs $\$40$ , which is more than their $\$38$ budget.

STEP 12

The raft trip costs exactly $\$38$ , which is what the friends wanted to spend.
The amusement park is too cheap, and the hot air balloon ride is too expensive.
So, they should choose the raft trip!

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Studdy Solution

STEP 1

What is this asking? Three friends want to spend exactly $\$38$ on an activity, and we need to figure out which activity costs that much. Watch out! Don't forget there are three friends, so 'per person' costs need to be multiplied by 3!

STEP 2

1. Check the Raft Trip Cost
2. Check the Amusement Park Cost
3. Check the Hot Air Balloon Ride Cost

STEP 3

The raft trip costs $\$6$ per person plus a $\$20$ transportation fee.
There are three friends, so we multiply the per-person cost by 3 and add the transportation fee.

STEP 4

Let's calculate the total cost: $3 \cdot \$6 + \$20 = \$18 + \$20 = \$38$

STEP 5

Wow, the raft trip costs exactly $\$38$ !
That's what they wanted to spend!

STEP 6

The amusement park costs $\$11$ per person.
With three friends, we multiply the cost by 3.

STEP 7

Let's calculate the total cost: $3 \cdot \$11 = \$33$

STEP 8

The amusement park costs only $\$33$ , which is less than their $\$38$ budget.

STEP 9

The hot air balloon ride costs $\$30$ per person, but they have a $\$50$ group discount coupon.
For three friends, we multiply the per-person cost by 3 and then subtract the discount.

STEP 10

Let's calculate the total cost: $3 \cdot \$30 - \$50 = \$90 - \$50 = \$40$

STEP 11

The hot air balloon ride costs $\$40$ , which is more than their $\$38$ budget.

STEP 12

The raft trip costs exactly $\$38$ , which is what the friends wanted to spend.
The amusement park is too cheap, and the hot air balloon ride is too expensive.
So, they should choose the raft trip!

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Studdy Solution

STEP 1

What is this asking? Three friends want to spend exactly $38\$38$38 on an activity, and we need to figure out which activity costs that much. Watch out! Don't forget there are *three* friends, so 'per person' costs need to be multiplied by **3**!

STEP 2

1. Check the Raft Trip Cost2. Check the Amusement Park Cost3. Check the Hot Air Balloon Ride Cost

STEP 3

The raft trip costs $6\$6$6 per person plus a $20\$20$20 transportation fee.There are **three** friends, so we **multiply** the per-person cost by **3** and **add** the transportation fee.

STEP 4

Let's **calculate** the total cost: 3⋅$6+$20=$18+$20=$38 3 \cdot \$6 + \$20 = \$18 + \$20 = \$38 3⋅$6+$20=$18+$20=$38

STEP 5

Wow, the raft trip costs exactly $38\$38$38!That's what they wanted to spend!

STEP 6

The amusement park costs $11\$11$11 per person.With **three** friends, we **multiply** the cost by **3**.

STEP 7

Let's **calculate** the total cost: 3⋅$11=$33 3 \cdot \$11 = \$33 3⋅$11=$33

STEP 8

The amusement park costs only $33\$33$33, which is *less* than their $38\$38$38 budget.

STEP 9

The hot air balloon ride costs $30\$30$30 per person, but they have a $50\$50$50 group discount coupon.For **three** friends, we **multiply** the per-person cost by **3** and then **subtract** the discount.

STEP 10

Let's **calculate** the total cost: 3⋅$30−$50=$90−$50=$40 3 \cdot \$30 - \$50 = \$90 - \$50 = \$40 3⋅$30−$50=$90−$50=$40

STEP 11

The hot air balloon ride costs $40\$40$40, which is *more* than their $38\$38$38 budget.

STEP 12

The raft trip costs exactly $38\$38$38, which is what the friends wanted to spend.The amusement park is too cheap, and the hot air balloon ride is too expensive.So, they should choose the **raft trip**!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? Three friends want to spend exactly $\$38$ on an activity, and we need to figure out which activity costs that much. Watch out! Don't forget there are three friends, so 'per person' costs need to be multiplied by 3!

1. Check the Raft Trip Cost
2. Check the Amusement Park Cost
3. Check the Hot Air Balloon Ride Cost

The raft trip costs $\$6$ per person plus a $\$20$ transportation fee.
There are three friends, so we multiply the per-person cost by 3 and add the transportation fee.

Let's calculate the total cost: $3 \cdot \$6 + \$20 = \$18 + \$20 = \$38$

Wow, the raft trip costs exactly $\$38$ !
That's what they wanted to spend!

The amusement park costs $\$11$ per person.
With three friends, we multiply the cost by 3.

Let's calculate the total cost: $3 \cdot \$11 = \$33$

The amusement park costs only $\$33$ , which is less than their $\$38$ budget.

The hot air balloon ride costs $\$30$ per person, but they have a $\$50$ group discount coupon.
For three friends, we multiply the per-person cost by 3 and then subtract the discount.

Let's calculate the total cost: $3 \cdot \$30 - \$50 = \$90 - \$50 = \$40$

The hot air balloon ride costs $\$40$ , which is more than their $\$38$ budget.

The raft trip costs exactly $\$38$ , which is what the friends wanted to spend.
The amusement park is too cheap, and the hot air balloon ride is too expensive.
So, they should choose the raft trip!