Question

# A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?

## The correct answer is: $1.25.

- Hint:

○ Solve the equation.

○ Take terms with cofficient at one side and without cofficient at another side.

- Step by step explanation:

○ Given:

A man bought 4 cups of coffee and left a $7 tip.

A woman bought 8 cups of coffee and only left a $2 tip.

Amount paid by both is same.

○ Step 1:

Let the price of 1 cup of coffee be x.

So, in case of man,

Total amount paid = 4x + 7 { %7 is tip }

In case of women,

Total amount paid = 8x + 2 { %2 is tip }

○ Step 2:

○ As amount paid by both of them is same.

∴ 4x + 7 = 8x + 2

7 - 2 = 8x - 4x

5 = 4x

x =

x = 1.25

- Final Answer:

Hence, each cup of coffee cost $1.25.

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