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Last-Minute Shopper #1 paid $102 for 3 gizmos and
6 thingamajigs. Last-Minute Shopper #2 paid $179
for 5 gizmos and 11 thingamajigs. Assume they both
shopped at the same store and bought the same
brands and model numbers, and then answer the
questions below.
a) How much did each gizmo cost?
b) How much did each thingamajig cost?

Respuesta :

The cost of one gizmo is $18.

The cost of one thingamajigs is $9

What are the linear equations that represent the question?

3g + 6t = 102 equation 1

5g + 11t = 179  equation 2

Where:

  • g = cost of one gizmo
  • t = cost of one thingamajigs.

What is the cost of one gizmo and thingamajigs?

Multiply equation 1 by 5 and equation 2 by 3

15g + 30t = 510 equation 3

15g + 33t = 537 equation 4

Subtract equation 3 from equation 4

3t = 27

t = 27 / 3

t = $9

Substitute for t in equation 1

3g + 6(9) = 102

3g + 54 = 102

3g = 102 - 54

3g = 48

g = 48 / 3

g = $18

To learn more about linear functions, please check: https://brainly.com/question/26434260

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