A store sells T-shirts for $14 and sweatshirts for $25. They sell 200 items and earn $3,515 in sales. Which equation could be used to find the number of T-shirts (t) sold? Answer Options with 4 options A. 14t + 25(200 − t) = 3515 B. 14 + 25(200 − t) = 3515 C. 14t + 25(200 + t) = 3515 D. 14 + 25(200 + t) = 3515

The equation that could be used to find the number of T-shirts sold is [tex]14t + 25(200-t) = 3515[/tex] and this can be determined by forming the linear equation.

Given :

A store sells T-shirts for $14 and sweatshirts for $25.
The store sells 200 items and earns $3,515 in sales.

The following steps can be used in order to determine the equation that could be used to find the number of T-shirts sold:

Step 1 - Let the total number of T-shirts be 't' and the total number of sweatshirts be 's'.

Step 2 - The linear equation that represents the total number of items is:

[tex]t + s = 200[/tex]

[tex]s = 200 - t[/tex] --- (1)

Step 3 - The linear equation that represents the total earning is:

[tex]14t + 25s = 3515[/tex] --- (2)

Step 4 - Now, substitute the value of 's' in the equation (2).

[tex]14t + 25(200-t) = 3515[/tex]

Therefore, the correct option is A).

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