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Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?

1 Answer

12 votes

Answer:

1 1/4 liters of paint

Explanation:

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1LaTeX: \frac{3}{5}3 5 doors. How many liters of paint are needed for 1 door?

From the above question, we can deduce that:

2 liters of paint covers 1 3/5 doors

Hence:

1 3/5 doors = 2 liters of paint

1 door = x liters of paint

Cross Multiply

1 3/5 doors × x liters = 2 liters × 1 door

x liters = 2 liters × 1 door/ 1 3/5 doors

x liters = 2 ÷ 1 3/5

x liters = 2 ÷ 8/5

x liters = 2 × 5/8

x liters = 5/4 liters

x liters = 1 1/4 liters of paint

Hence: 1 1/4 liters of paint is needed for 1 door

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