I am selling T-shirts and sweatshirts. The T-shirts cost $10 and sweatshirts cost $25. I started out with $50 in my box for change and now I have $1,400 in my box. I know that I have sold 5 more than 4 times as many T-shirts as sweatshirts. How many did I sell of each

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Mathematics

6 April, 10:35

I am selling T-shirts and sweatshirts. The T-shirts cost $10 and sweatshirts cost $25. I started out with $50 in my box for change and now I have $1,400 in my box. I know that I have sold 5 more than 4 times as many T-shirts as sweatshirts. How many did I sell of each

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Aryana Stein · Answer 1

Total money earned: 1400 - 50 = 1350$

Sweatshirts sold: x

T-shirts sold: 4x + 5

Earned by sweatshirts sold: 25x

Earned by T-shirts sold: 10 (4x + 5)

Equation:

25x + 10 (4x + 5) = 1350

25x + 40x + 50 = 1350

65x = 1350 - 50

65x = 1300

x = 20

T-shirts sold: 4 * 20 + 5 = 80 + 5 = 85

You sold 85 T-shirts and 20 sweatshirts