High School

To make her own bubble solution, Siti uses 2 tablespoons of laundry detergent for every cup of warm water.

(a) How many tablespoons of laundry detergent does Siti need when she uses 6 cups of warm water?

(b) How many cups of warm water does Siti need when she uses 6 tablespoons of laundry detergent?

Answer :

The number of tablespoons of laundry detergent Siti needs when she uses 6 cups of warm water is 12 tablespoons.

The number of cups of warm water Siti needs when she uses 6 tablespoons of laundry ddetergent is 3 cups

How many tablespoons of laundry detergent does Siti need?

Original recipe for bubble solution:

2 tablespoons of laundry detergent

1 cup of warm water.

Tablespoons of laundry detergent : cups of warm water

2 : 1 = x : 6

2/1 = x/6

cross product

2 × 6 = 1 × x

12 = x

Tablespoons of laundry detergent : cups of warm water

2 : 1 = 6 : x

2/1 = 6/x

cross product

2 × x = 1 × 6

2x = 6

divide both sides by 2

x = 6/2

x = 3 cups of warm water

Hence, Siti uses 12 tablespoons of laundry detergent and 3 cups of warm water respectively.

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