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# The price of a slice of pizza is (8a + b) cents, the price

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The price of a slice of pizza is (8a + b) cents, the price [#permalink]  21 Jun 2017, 02:13
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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.
[Reveal] Spoiler: OA

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Re: The price of a slice of pizza is (8a + b) cents, the price [#permalink]  12 Aug 2017, 05:42
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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 \$1.35
Since 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

[Reveal] Spoiler:
D

Cheers,
Brent
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Re: The price of a slice of pizza is (8a + b) cents, the price   [#permalink] 12 Aug 2017, 05:42
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