Question

June need 45 gallons for a party and has 2 different coolers to carry it in. The bigger cooler is 5 times as large as the smaller cooler.how many gallons can each cooler hold ?

Answer 1

The bigger cooler can hold 37.5 gallons and smaller cooler can hold 7.5 gallons.

Step-by-step explanation:

Given,

Gallons needed for party = 45 gallons

Let,

x represents the gallons hold by large cooler

y represent the gallons hold by small cooler

According to given statement;

x+y=45      Eqn 1

x = 5y        Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$5y+y=45\\6y=45$

Dividing both sides by 6

$\frac{6y}{6}=\frac{45}{6}\\y=7.5$

Putting y=7.5 in Eqn 2

$x=5(7.5)\\x=37.5$

The bigger cooler can hold 37.5 gallons and smaller cooler can hold 7.5 gallons.

Keywords: linear equation, substitution method

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