Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlig

Question

3 years ago

11

Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlig

hts ordered was five times the number of sleeping bags. The flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost of the flashlights and sleeping bags was $1785, how many flashlights and how many sleeping bags did Juanita and Keenan order?

Mathematics

1 answer:

julsineya [31] · Answer 1 · 2021-11-24T09:54:31+03:00

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Step-by-step explanation:

Given,

Cost of each flashlight = $12

Cost of each sleeping bag = $45

Total cost = $1785

Let,

x represent the number of flashlights ordered

y represent the number of sleeping bags ordered

According to given statement;

12x+45y=1785 Eqn 1

x = 5y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$12(5y)+45y=1785\\60y+45y=1785\\105y=1785\\$

Dividing both sides by 105

$\frac{105y}{105}=\frac{1785}{105}\\y=17$

Putting y=17 in Eqn 1

$x=5(17)\\x=85$

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Keywords: linear equation, substitution method

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