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A dealer sold a total of 60 of the three appliances listed in the table above for a total of $4,200. If the dealer sold

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by BTGmoderatorDC » Fri Sep 02, 2022 6:28 pm

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A dealer sold a total of 60 of the three appliances listed in the table above for a total of $4,200. If the dealer sold twice as many food processors as mixers, what was the ratio of the number of blenders sold to the number of food processors sold?

A. 3/2
B. 4/3
C. 6/7
D. 5/12
E. 1/3


OA A

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Re: A dealer sold a total of 60 of the three appliances listed in the table above for a total of $4,200. If the dealer s

by Brent@GMATPrepNow » Sun Sep 04, 2022 3:07 pm
BTGmoderatorDC wrote: ↑
Fri Sep 02, 2022 6:28 pm
 1.png

A dealer sold a total of 60 of the three appliances listed in the table above for a total of $4,200. If the dealer sold twice as many food processors as mixers, what was the ratio of the number of blenders sold to the number of food processors sold?

A. 3/2
B. 4/3
C. 6/7
D. 5/12
E. 1/3


OA A

Source: GMAT Prep
The dealer sold twice as many food processors as mixers.
Let M = the number of mixers has sold
So, 2M = the number of the food processors sold

The dealer sold a total of 60 of the three appliance
M + 2M = 3M
So, 3M represents the total number of mixers and food processors sold.
Since 60 appliances were sold in total, 60 - 3M = the number of blenders sold

The dealer sold everything for a total of $4,200
We get: (30)(M) + (120)(2M) + (50)(60 - 3M) = 4,200
Simplify: 30M + 240M + 3000 - 150M = 4200
Simplify: 130M + 3000 = 4200
Subtract 3000 from both sides: 120M = 1200
Divide both sides by 120 to get: M = 10

So, the dealer sold 10 mixers
This means the dealer sold 20 food processors
And the dealer sold 30 food processors

Ratio of blenders sold to food processors sold = 30/20 = 3/2

Answer: A
Brent Hanneson - Creator of GMATPrepNow.com
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