fozzzy wrote:

I'm getting different answers when I solve to prove its D can someone please provide detailed explanation with equations! thanks

blog wrote:

A store sells milk in cartons of two sizes , one-half gallon and one-quarter gallon. If the store sold a total of 300 cartons of milk yesterday, how many gallons of milk did it sell yesterday?

1. yesterday the store sold 120 one-quarter-gallons of milk.

2. Yesterday the store sold 90 gallons of milk in one-half-gallon cartons.

Nq - Number of quarter gallon cartons sold

(300 - Nq) - Number of half gallon cartons sold

Gallons of milk sold = Nq*(1/4) + (300 - Nq)*(1/2)

1. yesterday the store sold 120 one-quarter-gallons of milk.

I assuming that they meant '120 one-quarter-gallon cartons of milk'.

So Nq = 120. So, Nh = 180

Gallons of milk sold = 120*(1/4) = 180*(1/2)

2. Yesterday the store sold 90 gallons of milk in one-half-gallon cartons.

(300 - Nq)*(1/2) = 90

300 - Nq = 180

Nq = 120

Gallons of milk sold = 120*(1/4) = 180*(1/2)

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