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.

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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step-by-step explanation:

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