Question

suppose the juice was instead packaged like the cider. Approximately what is the cost per gallon of the juice

Answer 1

Answer:

(8)(4.23)=33.84 ounces in the juice boxes and the price for the boxes is $2.39. We can set up the proportionÂ

2.39 dollars33.84 ounces=x dollars1 gallon

and solve for x. We see that we will need to convert ounces to gallons, and as there are 128 ounces in a gallon, we have

2.39 dollars33.84 ounces⋅Â128 ounces1 gallon≈9.04 dollars1 gallon,

so x≈9.04, and the price of the juice is about $9.04 per gallon.Â

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We wish to find the price per a package of boxes of the cider. The price for the gallon of cider is $7.00, and there are 128 ounces in a gallon, giving the proportion

7 dollars128 ounces=x dollars1package of boxes.

To solve for x, we see that we need to convert ounces into "package of boxes", which refers to the eight 4.23-ounces boxes that the juice is sold in. So,Â

7 dollars128 ounces⋅33.84 ounces1 package of boxes≈1.85 dollars1 package of boxes,

and x≈1.85 and the price of the cider is about $1.85 per eight 4.23-ounce boxes.Â

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Utilizing our previous answers to part a and b, we see that the cider is the more cost-effective choice. Â (In fact, Peter would have to buy four 8-packs of juice to get at least a gallon, for a cost of $9.56, much more than the $7 it would take to get a gallon of cider.)

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The unit rates we used in parts a and b are dollars per gallon and dollars per pack of eight 4.23-ounce boxes.Â

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Additional unit rates could be dollars per ounce, cents per ounce, ounces per dollar, dollars per 4.23-ounce box, etc.Â

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Step-by-step explanation:

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