Question

ALGEBRA: Food Pantry sells its private label salad

Answer 1

Answer: 48oz = $1.68, 32oz = $0.80

Step-by-step explanation:

Let A be the price of the 48oz bottle and B the price for the 32oz bottle.

We are told that:

A = B + $0.88

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The unit price is defined as the $ per oz.  

Let Au be the unit price for the 48oz size, and

Bu is the unit price for the 32oz size.

[This means that Au*(48) = A and Bu*(32) = B]

We are told that:

Bu + $0.01 = Au

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Find the cost of each.

A = B + $0.88

Au*(48) = Bu*(32) + $0.88

Substitute (Bu + $0.01) for Au

(Bu + $0.01)*(48) = Bu*(32) + $0.88

(48Bu + $0.48) = Bu*(32) + $0.88

16Bu + $0.48 =  $0.88

16Bu  =  $0.40

Bu = $0.025

The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle

B = $0.80

Since A = B + $0.88

A =  $0.80 + $0.88

A = $1.68