Math  /  Algebra

QuestionMembers of a lacrosse team raised $1775.50\$ 1775.50 to go to a tournament. They rented a bus for $901.50\$ 901.50 and budgeted $46\$ 46 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Answer Attempt 1 out of 2
Equation: \square
Answer: x=x= \square

Studdy Solution

STEP 1

What is this asking? How many lacrosse players can go to a tournament after paying for the bus and meals, given the total money raised? Watch out! Don't forget to subtract the bus cost *before* dividing by the cost per player for meals.

STEP 2

1. Set up the equation
2. Solve for *x*

STEP 3

Alright team, let's **translate** this word problem into a super cool math equation!
We know the **total amount raised** is $1775.50\$1775.50.
This total needs to cover the **bus rental**, which costs $901.50\$901.50, *plus* the **cost of meals** for each player.

STEP 4

The problem tells us that each player's meal costs $46\$46.
Since we don't know how many players there are, we'll use the variable xx to represent the **number of players**.
So, the total cost of meals for all players is 46x46 \cdot x or 46x46x.

STEP 5

Now, we can **put it all together**!
The equation looks like this: 901.50+46x=1775.50 901.50 + 46x = 1775.50 This equation says that the **bus cost** *plus* the **total meal cost** *equals* the **total money raised**.
Awesome!

STEP 6

Our goal is to **isolate** xx on one side of the equation.
First, let's **subtract** the bus cost (901.50901.50) from *both* sides of the equation to keep things balanced: 901.50901.50+46x=1775.50901.50 901.50 - 901.50 + 46x = 1775.50 - 901.50 46x=874 46x = 874 We are left with 46x=87446x = 874.
This tells us that the total cost of meals for all players is $874\$874.

STEP 7

Now, let's **divide** *both* sides of the equation by 4646 to find the **number of players** (xx): 46x46=87446 \frac{46x}{46} = \frac{874}{46} x=19 x = 19

STEP 8

So, the team can bring **19** players to the tournament!
The equation is 901.50+46x=1775.50901.50 + 46x = 1775.50, and x=19x = 19.

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord