Question

The Shirts For All shop keeps track of the total number of white and tie-dye t-shirts it sells. In one week, 500 shirts were sold. White shirts cost $15 each, while tie-dye shirts cost $20 each. If the shop earned $9000 in revenue, how many of each type of t-shirt were sold that week?

Which equations represent the scenario if w is the number of white shirts and t is the number of tie-dye shirts sold? Check all that apply.
A. w + t = 500
B. 15w + 20t = 500
C. 15w + 20t = 9000
D. 20w + 15t = 9000

Answer 1

The correct equations to represent the scenario where 'w' stands for the number of white shirts and 't' stands for the number of tie-dye shirts, given that 500 shirts were sold and the total revenue was $9000, are 'w + t = 500' and '15w + 20t = 9000'.

Step-by-step explanation:

To solve the problem where w is the number of white shirts and t is the number of tie-dye shirts sold, we need to establish a system of equations. According to the given information, a total of 500 shirts were sold, and the shop earned $9000 in revenue, with white shirts costing $15 each and tie-dye shirts costing $20 each.

Two equations can represent this scenario:

1. w + t = 500 (Equation A)
2. 15w + 20t = 9000 (Equation C)

The first equation represents the total number of shirts sold, while the second equation represents the total revenue from selling w white shirts at $15 each and t tie-dye shirts at $20 each.

Equation B (15w + 20t = 500) is incorrect because '500' in this equation seems to represent total shirts rather than revenue, and Equation D (20w + 15t = 9000) inverts the prices of the shirts, which is also incorrect.