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

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

the answer is true.

step-by-step explanation:

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step-by-step