An advertisement states that the first 100 people to enter a hardware store will receive a free gift. Some winners will receive a screwdriver and others will receive a flashlight. If the screwdrivers cost the store $1.25 and the flashlights cost the store $0.85 and the store owner spent a total of $99 for the items, then how many of each gift were given away?

Question

Damion Park

Mathematics

20 May, 07:08

An advertisement states that the first 100 people to enter a hardware store will receive a free gift. Some winners will receive a screwdriver and others will receive a flashlight. If the screwdrivers cost the store $1.25 and the flashlights cost the store $0.85 and the store owner spent a total of $99 for the items, then how many of each gift were given away?

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Answers (1)

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Enrique Horton · Answer 1

I'm going to consider that you already know how to solve a system of equations:

If we consider the screwdrivers as the variable "X" and the flashlights as the variable "Y", then the equations would be as follows:

X+Y=100

1,25X+0,85Y=99

Then: X=100-Y,

so 1,25· (100-Y) + 0,85Y=99

125-1,25Y+0,85Y=99

26=0,4Y

26/0,4=Y

Y=65, which means that 65 flashlights were given that day, and 35 screwdrivers.