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The total cost of 3 bananas, 2 apples, and 1 mango is $3.50.
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19 Aug 2018, 03:05
19 Aug 2018, 03:05
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71% (02:05) correct
28% (02:09) wrong based on 118 sessions
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The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The cost of a papaya |
\(\$2.00\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50.
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04 Sep 2018, 14:01
04 Sep 2018, 14:01
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sandy wrote:
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The cost of a papaya |
\(\$2.00\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Let B = cost of 1 banana
Let A = cost of 1 apple
Let M = cost of 1 mango
Let P = cost of 1 papaya
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50
We can write: 3B + 2A + M = 3.50
The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20
We can write: 3B + 2A + P = 4.20
We have two equations:
3B + 2A + P = 4.20
3B + 2A + M = 3.50
Subtract the bottom equation from the top equation to get: P - M = 0.7
The ratio of the cost of a mango to the cost of a papaya is 3 : 5
We can write: M/P = 3/5
Cross multiple to get: 5M = 3P
Rearrange to get: 3P - 5M = 0
We now have the following:
P - M = 0.7
3P - 5M = 0
Take top equation and multiply both sides by 5 to get:
5P - 5M = 3.50
3P - 5M = 0
Subtract the bottom equation from the top equation to get:
2P = 3.50
Solve: P = 1.75 (this is the value of Quantity A)
Answer: B
Cheers,
Brent
General Discussion
Re: The total cost of 3 bananas, 2 apples, and 1 mango is $3.50.
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04 Apr 2021, 20:59
04 Apr 2021, 20:59
The total cost of 3 bananas, 2 apples, and 1 mango is $3.50. The total cost of 3 bananas, 2 apples, and 1 papaya is $4.20. The ratio of the cost of a mango to the cost of a papaya is 3 : 5.
bananas - x
apples - y
mango - z
papaya - w
3x+2y+z=3.5 ---->1
3x+2y+w=4.2----->2
subtarct (1)-(2)
w-z=0.7----->3
z:w=3:5
z=3w/5---->4
susbtitute 4 in 3
w=1.75
Answer - B
B is greater
bananas - x
apples - y
mango - z
papaya - w
3x+2y+z=3.5 ---->1
3x+2y+w=4.2----->2
subtarct (1)-(2)
w-z=0.7----->3
z:w=3:5
z=3w/5---->4
susbtitute 4 in 3
w=1.75
Answer - B
B is greater
