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# Ed has 100 dollars more than Robert. After Ed spends twenty dollars on

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Math Expert
Joined: 02 Sep 2009
Posts: 55801
Ed has 100 dollars more than Robert. After Ed spends twenty dollars on  [#permalink]

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08 Jan 2019, 01:02
00:00

Difficulty:

15% (low)

Question Stats:

100% (00:52) correct 0% (00:00) wrong based on 16 sessions

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Ed has 100 dollars more than Robert. After Ed spends twenty dollars on groceries, Ed has 5 times as much money as Robert. How much money does Robert have?

A. \$20
B. \$30
C. \$40
D. \$50
E. \$120

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Re: Ed has 100 dollars more than Robert. After Ed spends twenty dollars on  [#permalink]

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08 Jan 2019, 01:16
Ed = 100+robert
Ed - 20 = 5*robert
Ed = 5*robert + 20
100+robert = 5*robert + 20
80 = 4*robert
robert = 20

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Re: Ed has 100 dollars more than Robert. After Ed spends twenty dollars on  [#permalink]

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08 Jan 2019, 01:22
Bunuel wrote:
Ed has 100 dollars more than Robert. After Ed spends twenty dollars on groceries, Ed has 5 times as much money as Robert. How much money does Robert have?

A. \$20
B. \$30
C. \$40
D. \$50
E. \$120

Ed = E \$ and Robert = R

E(initial) = R + 100

Amount E will have after spending \$ 20 on Groceries
E(New) = R + 80
E(New) = 5R

Comparing both the statements
4R = 80
R = 20

Robert will have 20 \$.

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Re: Ed has 100 dollars more than Robert. After Ed spends twenty dollars on  [#permalink]

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08 Jan 2019, 02:29
Bunuel wrote:
Ed has 100 dollars more than Robert. After Ed spends twenty dollars on groceries, Ed has 5 times as much money as Robert. How much money does Robert have?

A. \$20
B. \$30
C. \$40
D. \$50
E. \$120

let robert have x
so ed = 100+x
100-20+x; 80+x
x+80=5x
4x=80
x=20
IMO A
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Re: Ed has 100 dollars more than Robert. After Ed spends twenty dollars on   [#permalink] 08 Jan 2019, 02:29
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