Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. Sebastian spends a totally of $138.00 on 3 bags of popcorn and

Question

3 years ago

10

12 drinks. Write a system of equations that can be used to find the price of one bag of popcorn

1 answer:

Ivanshal [37] · Answer 1 · 2022-01-20T10:31:58+03:00

Answer: A popcorn costs $9

Step-by-step explanation:

Let popcorn be represented by p

Let drinks be represented by d.

Samuel spends a total of $36.75 on 1 bag of popcorn and 3 drinks. This will be: p + 3d = 36.75

Sebastian spends a totally of $138.00 on 3 bags of popcorn and 12 drinks. This will be: 3p + 12d= 138

p + 3d = 36.75 ........... i

3p + 12d = 138 ............ ii

Multiply equation i by 3

Multiply equation ii by 1

3p + 9d = 110.25 ....... iii

3p + 12d = 138 ............ iv

Subtract equation iv from iii

-3d = -27.75

3d = 27.75

Divide both side by 3

d = 9.25

A drink cost $9.25

From equation i

p + 3d = 36.75

P + 3(9.25) = 36.75

P + 27.75 = 36.75

P= 36.75 - 27.75

P= $9

A popcorn cost $9