Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p

Question

3 years ago

15

Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p

ackage that costs $4.50. Brand Y has 8 hot dog buns in a package that costs $3.50. Christopher spends $49.50 on hot dog buns. a. Write a system of equations that can be used to find the number of packages of Brand X hot dog buns, x, and Brand Y hot dog buns, y, that Christopher buys. b. Solve the system of equations to find the values of x and y. Show your work or explain how you know.

Mathematics

1 answer:

lianna [129] · Answer 1 · 2022-05-11T21:57:38+03:00

A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:

12x + 8y = 120

4.5x + 3.5y = 49.50.

The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9

The following equations can be derived from the question

12x + 8y = 120 equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number of packages of Brand X

y represents the number of packages of Brand Y

The elimination method would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

54x + 36y = 540 equation 3

54x + 42y = 594 equation 4