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Question

Q: Melissa was given some money to buy some gifts. If she buys 5 books and 7 toys, she will have $5 left. If she buys 7 books and 5 toys, she will need $7 more. If each toy cost $4, how much money did Melissa have?

Pls help! 

Thank you!

Answer

Hi Lovetolearn

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From the question, we can infer that books are more expensive than toys.

In order to find out how much Melissa has in total, we need to equate both of the scenarios together to find the price of books.

1) 5 Books + 7 Toys + $5 = Total Amount Melissa Has

2) 7 Books + 5 Toys = Total Amount Melissa Has + $7

From 2), 7 Books + 5 Toys – $7 = Total Amount Melissa Has

 

Equate both 1 and 2 together, we will get

5 Books + 7 Toys + $5 = 7 Books + 5 Toys – $7

If each toy costs $4 (from the question),

5 Books + 7($4) + $5 = 7 Books + 5($4) – $7

2 Books = $20

Each book costs $10, each toy costs $4

 

Thus, total amount Melissa has is

5 Books + 7 Toys + $5 = 5($10) + 7($4) + $5 = $83

To confirm if the answer is correct, you can substitute all the values back into both equations and check 

Hope this helps 🙂

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