SOLUTION: If I need to buy 1 lb. 12.8 oz of beans and each pound cost $2.25 how much would I pay?

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Question 949134: If I need to buy 1 lb. 12.8 oz of beans and each pound cost $2.25 how much would I pay?

Found 3 solutions by josgarithmetic, macston, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
PRICE is %282.25%2F1%29%28dollars%2Fpound%29
'
Amount of beans wanted, 12.8%2Aoz
1 pound is 16 oz.
12.8%2F16=0.8, in pounds
'
Let p be the amount of "pay" in dollars.
'
PROPORTION: 2.25%2F1=p%2F%280.8%29
.
'
highlight%28p=%282.25%29%280.8%29%29


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ANOTHER TRY

This is a proportion problem. Proportion must be understood.
Proportion is the equality of ratios.
PRICE is one of the ratios.

%282.25%2Adollars%29%2F%281%2Apound%29=%28p%2Adollars%29%2F%2812.8%2Aoz%29

We must have the same units for the two ratios, but on the left we have a denominator in pounds; and on the right, we have a denominator in "oz". Let us use the quantity of beans in POUNDS.

The next question is, do we want yet one more proportion to convert ounces to pounds, or do we want to use the conversion ratio between pounds and ounces directly in the proportion written above? In either way, we must use this for the conversion:
1 pound is 16 ounces, or using the unit abbreviation,
1 pound is 16 oz.

Another way can be used: To start with the 12.8 oz, and use conversion ratios to find the amount to pay for the 12.8 oz. Here is THIS calculation:

.
Can you make sense of this expression and work through it to the final simplified result?

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
($2.25/16 oz)( 28.8 oz)=$4.05 ANSWER: At $2.25 per pound, 1 pound and 12.8 oz should cost $4.05.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

If I need to buy 1 lb. 12.8 oz of beans and each pound cost $2.25 how much would I pay?
Use proportions!!
1 lb 12.8 oz = 1+%2B+12.8%2F16, or 1.8 lbs
With C being the cost of the beans weighing 1 lb 12.8 oz, we then get the proportion: 1.8%2FC+=+1%2F2.25
Solve for cost (C) to get: highlight_green%28C+=+%22%24%224.05%29