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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.

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  1. 17 May, 02:02
    0
    (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
  2. 17 May, 02:05
    0
    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.
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