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# Math

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Roy had 5 times as much money as Shane. Roy spent $54 and Shane had twice as much as Roy in the end. How much did Roy have at first? YOU MUST DO: Cut the units in the model drawing into smaller parts. Apr 23, 2021 edited by Abcyacomga Apr 23, 2021 ### 1+0 Answers #1 +11856 0 Roy had 5 times as much money as Shane. Roy spent$54 and Shane had twice as much as Roy in the end. How much did Roy have at first?

Hello  Abcyacomga!

$$r=5s\\ s=(r-54)\cdot 2\\ s=(5s-54)\cdot 2\\ s=10s-108\\ -9s=-108\\ s=12\\ r=5\cdot 12\\ \color{blue}r=60$$

Roy started out with \$ 60.

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Apr 23, 2021