Question

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

Answer 1

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

Learn more about substitution method at:

• brainly.com/question/12878495
• brainly.com/question/12884757

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