Grace needs to spend no more than $65 on her school supplies. She spends $15 on a new calculator and wants to buy 5 binders.

a. Write an inequality to model this situation using b to the cost of the binders.

b. How much can Grace spend on each binder to not spend more than $65 total? Show your work.

(a) 5b ≤ 50

(b) $10

Step-by-step explanation:

(a) Since Grace spent $15 on the calculator, she has $50 remaining to spend on 5 binders.

Hence, the total cost of 5 binders must not exceed $50. As given, 'b' is the cost of each binder

∴ 5b ≤ 50

(b) Thus, the money Grace can spend on each binder is:

b = 50/5 = $10

Step-by-step explanation:

a) Let b represent the cost of each binder.

She spends $15 on a new calculator and wants to buy 5 binders. It means that the total cost of the new calculator and 5 binders would be

15 + 5b

Grace needs to spend no more than $65 on her school supplies. The inequality to model this situation would be

15 + 5b ≤ 65

b) Solving the inequality, it becomes

5b ≤ 65 - 15

5b ≤ 50

b ≤ 50/5

b ≤ 10

Grace can spend at most, $10 on each binder in order not to spend more than $65 in total.