Question

GEOMETRY Kymani has two equal-sized large pitchers and two equal-sized small pitchers. All of the pitchers together hold 40 cups of water. The capacity of one large pitcher minus the capacity of one small pitcher is 12 cups. How many cups can each type of pitcher hold?
Small pitcher =
cups

Large pitcher =
cups

Answer 1

Each of the small pitcher will contain 4 cups of water while each of the large pitcher will contain 16 cups of water.

Therefore,  two equal-sized large pitchers will hold 32 cups of water while the two equal-sized small pitchers will hold 8 cups of water

Larger Pitchers

The 2 larger pitchers are equal in size.

Let

each size of the large pitcher = x

Two large size pitcher = 2x

Smaller Pitchers

The 2 smaller pitchers are equal in size

let

each size of the pitcher = y

Two small sized pitchers = 2y

Pitchers Capacities

The whole pitchers holds 40 cups of water. Therefore,

• 2x + 2y = 40

The capacity of one large pitcher minus the capacity of one small pitcher is 12 cups. Therefore,

• x - y  = 12

Combine the equations.

2x + 2y = 40

x - y = 12

x + y = 20

2y = 8

y = 8 / 2

y = 4

x - 4 = 12

x = 12 + 4

x = 16

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