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20 September, 16:05

A store that sells merchandise on a college campus is restocking their inventory of sweatshirts and t-shirts. They order a total of 934 items. Each sweatshirt costs $8.00 and each t-shirt costs $5.00. They spend a total of $5,933.00.

A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

{s+t=934

{8s+5+=5933

The solution to the system is (421, 513). Interpret this solution in the context of the situation.

A. The store ordered 513 sweatshirts and 421 t-shirts.

B. The store ordered 421 sweatshirts and 513 t-shirts.

C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts.

D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts.

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Answers (1)
  1. 20 September, 16:34
    0
    Option B.

    Step-by-step explanation:

    A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

    s + t = 934

    8s + 5t = 5,933

    The solution to the system is (421, 513).

    So, The number of sweatshirts = 421

    And the number of t-shirts = 513

    Because 8 * 421 + 5 * 513 = $5,933

    We will check the options:

    A. The store ordered 513 sweatshirts and 421 t-shirts. ⇒Wrong

    B. The store ordered 421 sweatshirts and 513 t-shirts. ⇒True

    C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts. ⇒Wrong

    Because the solution represents the number of sweatshirts and t-shirts.

    D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts. ⇒Wrong

    Because the solution represents the number of sweatshirts and t-shirts.

    So, the answer is option B.
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