Question

Alexis and Jessica are shopping. Alexis buys 4 pairs of pants and 3 necklaces and pays $216. Jessica buys 7 pairs of pants and 2 necklaces and pays $300. Solve for the price of each item. Each pair of pants costs _____ dollars Each necklace costs________ dollars

Answer 1

Explanation:

let us keep the price of pants as x

and price of necklace as y

Simultaneous equations comes as follows:

4x + 3y = 216 for Alexis

7x + 2y = 300 for Jess

we'll make either x or y equal

here let's make y equal

2 ( 4x + 3y = 216)

3 ( 7x + 2y = 300)

8x + 6y = 432

21x + 6y = 900

21x - 8x = 900 - 432

13x = 468

x = $36

so a pant costs $36

And

3y = 72

y = $ 24

so a necklace costs $36