Question

Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the

amount of $100. After repaying the loan, she wants to have at least enough money to buy
herself a pair of sneakers costing $130.40. Write an inequality modeling the number of hours,
X, Sophie needs to work to have enough money to buy the sneakers.

Answer 1

Sophie has to work 18 hours to buy the sneakers.

Explanation:

Since Sophie earns $ 12.80 per hour babysitting, and she has to repay a loan to her parents in the amount of $ 100, and after repaying the loan, she wants to have at least enough money to buy herself a pair of sneakers costing $ 130.40, for write an inequality modeling the number of hours, X, Sophie needs to work to have enough money to buy the sneakers, the following mathematical reasoning must be carried out:

12.80X = 100 + 130.40

12.80X = 230.4

X = 230.4 / 12.8

X = 18

So Sophie has to work 18 hours to buy the sneakers.