The basketball boosters are selling school t-shirts for $20 and warm up pants for $45. Last week they sold 100 items and collect

Question

3 years ago

15

ed $2600 in sales. How many of each item did they sell?

1 answer:

lesya [120] · Answer 1 · 2022-05-10T18:05:39+03:00

They sold 76 t-shirts and 24 warm up pants.

Step-by-step explanation:

Cost of one t-shirt = $20

Cost of warm up pants = $45

Total sold = 100

Worth of sold items = $2600

Let,

x be the number of t-shirts.

y be the number of warm up pants.

According to statement;

x+y=100 Eqn 1

20x+45y=2600 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600\\$

Dividing both sides by 25

$\frac{25y}{25}=\frac{600}{25}\\y=24\\$

Putting y=24 in Eqn 1

$x+24=100\\x=100-24\\x=76$

They sold 76 t-shirts and 24 warm up pants.

Keywords: linear equations, elimination method

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