Lloyd has three times as many stamps in his collection as kimmy does. Lloyd gives Kimmy 17 stamps, but he still has 20 more than she does. How many stamps did Lloyd have to begin with?

Question

Mathematics

Adrianna

31 December, 15:08

Lloyd has three times as many stamps in his collection as kimmy does. Lloyd gives Kimmy 17 stamps, but he still has 20 more than she does. How many stamps did Lloyd have to begin with?

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Answers (1)

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Tatiana · Answer 1

Lloyd had 81 stamps

Explanation:

You can set an equation to represent the information and then solve for your unknown.

1. Name x the number of stamps that Kimmy has:

x

2. Lloyd has three times as many stamps in his collection as kimmy does

Then, Lloyd has:

3x

3. Lloyd gives Kimmy 17 stamps

Then, Kimmy has:

x + 17

And Lloyd has:

3x - 17

4. He still has 20 more than she does

That sets your equation:

3x - 17 = (x + 17) + 20

5. Solve your equation

3x - 17 = x + 17 + 20 3x - x = 17 + 17 + 20 2x = 54 x = 27

6. Substitute in the original expression for Lloyd's stamps

3x = 3 (27) = 81

Hence, Lloyd had 81 stamps ← answer