Al has twice as many cards as Bob, and Jane has three times as many cards as Bob. Together, they have 372 cards. How many cards does each of them have?

Question

Mathematics

Braiden Palmer

Today, 11:03

Al has twice as many cards as Bob, and Jane has three times as many cards as Bob. Together, they have 372 cards. How many cards does each of them have?

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Answers (1)

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Conley · Answer 1

Answer: Bob has 62 cards.

All has 124 cards.

Jane has 186 cards

Step-by-step explanation:

Let x represent the number of cards that Bob has.

Al has twice as many cards as Bob. It means that the number of cards that All has is 2x.

Jane has three times as many cards as Bob. It means that the number of cards that Jane has is 3x.

Together, they have 372 cards. It means that

x + 2x + 3x = 372

6x = 372

x = 372/6

x = 62

The number of cards that Al has is

2 * 62 = 124

The number of cards that Jane has is

3 * 62 = 186