Question

A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item?

Answer 1

Answer:

The answer is B

Step-by-step explanation:

Got it right on Edenuity

Answer 2

The elimination method is useful to find the price of each item.

Price of jacket = $16

Price of sweatpants = $9.

How to estimate the system of equations?

x = jacket price

y = sweatpants price

(1) 15x + 12y = 348

(2) 8x + 8y = 200

Equations are too confusing so use the elimination method

In the elimination method, you either add or subtract the equations to get an equation in one variable.

we need a common coefficient between equations

we multiply (1) by 2

we multiply (2) by -3

to get 24y and -24y

Our new equations are

(1) 30x + 24y = 696

(2) -24x + -24y = -600

We add them together

30x + 24y - 24y - 24x = 696 - 600

30x - 24x = 96

6x = 96

Divide both sides by 6

x = 16

We know the price of a jacket, now to find the price of sweatpants.

Substitute x = 16 into one of the equations

15(16) + 12y = 348

240 + 12y = 348

12y = 108

Divide both sides by 12

y = 9

The elimination method is useful to find the price of each item.

Price of jacket = $16

Price of sweatpants = $9.

To know more about the system of equations refers to:

https://brainly.com/question/7808225

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