Shopping at clothing world, jenna buys her children four shirts and three pairs of pants for 124.25. She returns the next day an

Question

3 years ago

14

d buys three shirts and five pair of pants for 161.25. What is the price of each shirt and each pair of pants?

1 answer:

Aleksandr-060686 [28] · Answer 1 · 2022-07-03T16:47:36+03:00

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Step-by-step explanation:

Let,

Cost of one shirt = x

Cost of pair of jeans = y

According to given statement;

4x+3y=124.25 Eqn 1

3x+5y=161.25 Eqn 2

Multiplying Eqn 1 by 3

$3(4x+3y=124.25)\\12x+9y=372.75\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 4

$4(3x+5y=161.25)\\12x+20y=645\ \ \ Eqn\ 4$

Subtracting Eqn 3 from Eqn 4

$(12x+20y)-(12x+9y)=645-372.75\\12x+20y-12x-9y=272.25\\11y=272.25$

Dividing both sides by 11

$\frac{11y}{11}=\frac{272.25}{11}\\y=24.75$

Putting 24.75 in Eqn 1

$4x+3(24.75)=124.25\\4x+74.25=124.25\\4x=124.25-74.25\\4x=50$

Dividing both sides by 4

$\frac{4x}{4}=\frac{50}{4}\\x=12.50$

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Keywords: linear equation, elimination method

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