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Molly is making strawberry infused water. For each ounce of strawberry juice, she uses three times as many ounces of water as juice. How many ounces of strawberry juice and how many ounces of water does she need to make 64ounces of strawberry infused water?

Short Answer

Expert verified

Molly needs 16ounces of strawberry juice and 48ounces of water to make 64ounces of strawberry infused water.

Step by step solution

01

Step 1. Given

For each ounce of strawberry juice, she uses three times as many ounces of water as juice.

She is making 64ounces of strawberry infused water.

02

Step 2. Form linear equation

Let xrepresent the number of ounce of strawberry juice.

And yrepresent the number of ounce of water.

For strawberry infused water, Molly mixes strawberry juice with water

x+y=64

For each ounce of strawberry juice, she uses three

times as many ounces of water as juice.

So,y=3x

03

Step 3. Solve linear equation

Solve the system of linear equations

x+y=64

y=3x

Substitute y=3xin the first equation,

x+3x=64

4x=64

Divide both sides of the equation by 4,

x=16

The number of ounce of strawberry juice is16ounces.

04

Step 4. Solve for y

Substitute x=16in the second equation,

y=3x

y=3(16)

y=48

The number of ounces of water is48ounces.

05

Step 5. Check the answer

Substitute x=16,

y=48in the first equation,

x+y=64

16+48=64

64=64

Hence the equation holds true.

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