Math / Algebra

Questionsin $>$ Practice (cont'd) SNTE At trat uses integers to keep track of their spending. bank beginning of September, they had $\$ 76$ in their - Nusraunt. Then, they made the following transactions. - They used the sited $\$ 65$ earned cutting lawns. - Nusrat's parents deposited to buy a $\$ 25$ gift for a friend. as a birthday gift. - Nusrat withdrew. (Knowledge and understa) $\$ 75$ to pay for a school trip. a) Write an int itanding) (Application) (Communication) $+\$ 76$ $+\$ 65$ $\$ 25$ $+\$ 65$ b) Represent this situation with an expression. Use your expression to with an expression. account balance.

Studdy Solution

STEP 1

What is this asking? We need to figure out Nusrat's final bank balance after a bunch of deposits and withdrawals! Watch out! Don't mix up deposits (adding money) with withdrawals (taking money away)!

STEP 2

1. Represent each transaction as an integer
2. Create an expression for the total balance
3. Calculate the final balance

STEP 3

Nusrat started with $\$76$ , so our initial value is $76$ .

STEP 4

Nusrat earned $\$65$ cutting lawns.
Earning money means adding to the balance, so we represent this as $+65$ .

STEP 5

Nusrat spent $\$25$ on a gift.
Spending money means subtracting from the balance, so we represent this as $-25$ .

STEP 6

Nusrat received a $\$50$ birthday gift.
Receiving money means adding to the balance, so we represent this as $+50$ .

STEP 7

Nusrat withdrew $\$75$ for a school trip.
Withdrawing money means subtracting from the balance, so we represent this as $-75$ .

STEP 8

To find the final balance, we add all the transactions together, starting with the initial balance: $76 + 65 - 25 + 50 - 75$ .

STEP 9

Let's add the positive numbers first: $76 + 65 + 50 = 191$ .

STEP 10

Now, let's add the negative numbers: $-25 + (-75) = -100$ .

STEP 11

Finally, let's combine the positive and negative sums: $191 + (-100) = 191 - 100 = 91$ .

STEP 12

Nusrat's final account balance is $\$91$ !

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Studdy Solution

STEP 1

What is this asking? We need to figure out Nusrat's final bank balance after a bunch of deposits and withdrawals! Watch out! Don't mix up deposits (adding money) with withdrawals (taking money away)!

STEP 2

1. Represent each transaction as an integer
2. Create an expression for the total balance
3. Calculate the final balance

STEP 3

Nusrat started with $\$76$ , so our initial value is $76$ .

STEP 4

Nusrat earned $\$65$ cutting lawns.
Earning money means adding to the balance, so we represent this as $+65$ .

STEP 5

Nusrat spent $\$25$ on a gift.
Spending money means subtracting from the balance, so we represent this as $-25$ .

STEP 6

Nusrat received a $\$50$ birthday gift.
Receiving money means adding to the balance, so we represent this as $+50$ .

STEP 7

Nusrat withdrew $\$75$ for a school trip.
Withdrawing money means subtracting from the balance, so we represent this as $-75$ .

STEP 8

To find the final balance, we add all the transactions together, starting with the initial balance: $76 + 65 - 25 + 50 - 75$ .

STEP 9

Let's add the positive numbers first: $76 + 65 + 50 = 191$ .

STEP 10

Now, let's add the negative numbers: $-25 + (-75) = -100$ .

STEP 11

Finally, let's combine the positive and negative sums: $191 + (-100) = 191 - 100 = 91$ .

STEP 12

Nusrat's final account balance is $\$91$ !

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Studdy Solution

STEP 1

What is this asking? We need to figure out Nusrat's final bank balance after a bunch of deposits and withdrawals! Watch out! Don't mix up deposits (adding money) with withdrawals (taking money away)!

STEP 2

1. Represent each transaction as an integer2. Create an expression for the total balance3. Calculate the final balance

STEP 3

Nusrat started with $76\$76$76, so our **initial value** is 767676.

STEP 4

Nusrat earned $65\$65$65 cutting lawns.Earning money means *adding* to the balance, so we represent this as +65+65+65.

STEP 5

Nusrat spent $25\$25$25 on a gift.Spending money means *subtracting* from the balance, so we represent this as −25-25−25.

STEP 6

Nusrat received a $50\$50$50 birthday gift.Receiving money means *adding* to the balance, so we represent this as +50+50+50.

STEP 7

Nusrat withdrew $75\$75$75 for a school trip.Withdrawing money means *subtracting* from the balance, so we represent this as −75-75−75.

STEP 8

To find the final balance, we **add** all the transactions together, starting with the **initial balance**: 76+65−25+50−7576 + 65 - 25 + 50 - 7576+65−25+50−75.

STEP 9

Let's **add** the positive numbers first: 76+65+50=19176 + 65 + 50 = 19176+65+50=191.

STEP 10

Now, let's **add** the negative numbers: −25+(−75)=−100-25 + (-75) = -100−25+(−75)=−100.

STEP 11

Finally, let's **combine** the positive and negative sums: 191+(−100)=191−100=91191 + (-100) = 191 - 100 = 91191+(−100)=191−100=91.

STEP 12

Nusrat's final account balance is $91\$91$91!

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Start learning now

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

1. Represent each transaction as an integer
2. Create an expression for the total balance
3. Calculate the final balance

Nusrat started with $\$76$ , so our initial value is $76$ .

Nusrat earned $\$65$ cutting lawns.
Earning money means adding to the balance, so we represent this as $+65$ .

Nusrat spent $\$25$ on a gift.
Spending money means subtracting from the balance, so we represent this as $-25$ .

Nusrat received a $\$50$ birthday gift.
Receiving money means adding to the balance, so we represent this as $+50$ .

Nusrat withdrew $\$75$ for a school trip.
Withdrawing money means subtracting from the balance, so we represent this as $-75$ .

To find the final balance, we add all the transactions together, starting with the initial balance: $76 + 65 - 25 + 50 - 75$ .

Let's add the positive numbers first: $76 + 65 + 50 = 191$ .

Now, let's add the negative numbers: $-25 + (-75) = -100$ .

Finally, let's combine the positive and negative sums: $191 + (-100) = 191 - 100 = 91$ .

Nusrat's final account balance is $\$91$ !