math story problem please help !

Question

write an equation for the 1st one***

 

 jessie had candy to give to her 4 friends. she first took 10 pieces for herself and then evenly divided it among her friends. each friend recieved 2 pieces. how many pieces did she start with?

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jen earns $16.50 an hour, but she will be given a raise of 12% per hour. if elsa works 40 hours per week how much will she earn per week after she gets the raise?

 

james invested $762 in a restaurant for 2 years. if the investment earned 17% interest per year how much money did James earn on his investment?

Answer 1

1)

 

Let x = number of pieces Jessie started with.

 

First she took 10 pieces for herself, leaving x - 10. Then she had enough left to give 2 pieces to each of 4 friends, so she had 2×4 pieces left.

 

You can write the equation:

 

x - 10 = 2×4

x - 10 = 8

x = 18 pieces of candy

 

 

2)

 

I'm going to assume Jen and Elsa are the same person. I'll call her Jelsa. Jelsa earns $16.50 per hour, but will be given a raise of 12%. Her raise is $16.50(0.12) = $1.98 more per hour, so she'll be making a total of $16.50 + $1.98 = $18.48 per hour.

 

If Jelsa works 40 hours per week, she'll earn $18.48×40 = $739.20 per week.

 

 

3)

 

After one year, James earned $762×0.17 = $129.54 in interest.

 

For the second year, I'm not sure if you want compounding interest or simple interest. I think you probably want simple interest, so James earns another $129.54 during the second year. That means he earned a total of $129.54 + $129.54 = $259.08 total.

 

If you want compounding interest, you'll have to calculate that James had $891.54 after year one ($762 + $129.54), and, after the second year, earned $891.54×0.17 = $151.56 in interest. That means he earned a total of $129.54 + $151.56 = $281.10 total.