Carcass wrote:
The price of a slice of pizza is (8a + b) cents, the price of a soda is (8b + a) cents, and the sum of the two prices is $1.35.
Quantity A |
Quantity B |
a |
b |
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.
Given: The price of a slice of pizza is (8a + b) cents, the price of a soda is (8b + a) cents, and the sum of the two prices is $1.35Since the first two parts of the info are in CENTS, let's change the whole thing to CENTS to get:
We get: The price of a slice of pizza is (8a + b) cents, the price of a soda is (8b + a) cents, and the sum of the two prices is 135 CENTS
We can write: (price of pizza slice) + (price of soda) = 135 cents
Or: (8a + b) + (8b + a) = 135
Simplify: 9a + 9b = 135
Factor: 9(a + b) = 135
Divide both sides by 9 to get: a + b = 15
There are several possible values of a and b that satisfy the equation a + b = 15. Here are TWO.
Case 1: a = 1 and b = 14, in which case QUANTITY A is greater
case 2: a = 10 and b = 5, in which case QUANTITY B is greater
Answer:
Cheers,
Brent
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Brent Hanneson – Founder of greenlighttestprep.com
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