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A dealer sold a total of 60 of the three appliances listed i
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22 Jun 2020, 09:32
22 Jun 2020, 09:32
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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
Re: A dealer sold a total of 60 of the three appliances listed i
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22 Jun 2020, 09:33
22 Jun 2020, 09:33
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A dealer sold a total of 60 of the three appliances listed i
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22 Jun 2020, 09:55
22 Jun 2020, 09:55
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Carcass wrote:
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
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 blenders
Ratio of blenders sold to food processors sold = 30/20 = 3/2
Answer: A
Cheers,
Brent
