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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?

Respuesta :

musabelahi122

Step-by-step explanation:

Cost of white shirt=$15

Cost of tie-dye shirt = $20

Total number of shirts= 500

Total number of white shirts= 200

Cost of white shirts = 200×15=$ 3000

Total number of tie-dye shirts = 300

Cost of tie-dye shirts = 300×20= $6000

Verification:

3000+6000=$9000 proved!

adioabiola

The number of white and tie-dye t-shirt sold that week is 200 and 300 respectively

let

  • number of be white shirt = x
  • number of tie-dye shirt = y

The equation:

x + y = 500 (1)

15x + 20y = 9000 (2)

from (1)

x = 500 - y

substitute x = 500 - y into (2)

15x + 20y = 9000

15(500 - y) + 20y = 9000

7500 - 15y + 20y = 9000

- 15y + 20y = 9000 - 7,500

5y = 1500

y = 1500/5

y = 300

Substitute y = 300 into (1)

x + y = 500

x + 300 = 500

x = 500 - 300

x = 200

Therefore, the number of white and tie-dye t-shirt sold that week is 200 and 300 respectively

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