Question

Grace earns $7 for each car she washes. She always saves $29 of her weekly earnings. This week, she wants to have at least $56 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation. Enter your value as a simplified mixed number, if necessary. The inequality is The solution to the inequality is n Grace must wash at least cars, since n must be a whole number.

Answer 1

Explanation:

Let n be the number of cars Grace washes this week

Total earnings would be ; (price * n) = $7n

Subtract the amount she will save to get the balance = 7n-29

a.)Since she wants to have at least $56 as the balance to spend, the inequality will be;

7n-29
`\geq 56`

b.) Solving the inequality to get the number of cars

7n-29
`\geq`56

`7n\geq 56+29\\ \\ 7n\geq 85\\ \\ n\geq 12.14`

Therefore Grace must wash at least 12 cars