One brand of orange juice is sold in four different sizes.
Size A The 8 1/2-ounce bottle costs $0.99.
Size B The 18 2/3-ounce bottle costs $1.49.
Size C The 48 1/4-ounce carton costs $2.49.
Size D The 64 3/4-ounce carton costs $3.75.
What is the unit rate for each size to the nearest cent?
Size Unit rate
A $
B $
C $
D $
I tried but I cant think or find an answer.
I hate those contrived questions. Have you ever seen juice sold in
18 2/3 ounce cartons??
any way ....
if 18 2/3 oz cost $1.49, then
56/3 oz cost $1.49
1 oz costs $1.49/(56/3) = $1.49(3/56) = $.0798...
Do the others in the same way
To find the unit rate, we divide the cost by the number of ounces for each size. Let's calculate the unit rate for each size:
Size A:
Cost = $0.99
Ounces = 8 1/2 = 8.5 ounces
Unit rate = Cost / Ounces = $0.99 / 8.5 = $0.116 (to the nearest cent)
Size B:
Cost = $1.49
Ounces = 18 2/3 = 18.67 ounces
Unit rate = Cost / Ounces = $1.49 / 18.67 = $0.08 (to the nearest cent)
Size C:
Cost = $2.49
Ounces = 48 1/4 = 48.25 ounces
Unit rate = Cost / Ounces = $2.49 / 48.25 = $0.052 (to the nearest cent)
Size D:
Cost = $3.75
Ounces = 64 3/4 = 64.75 ounces
Unit rate = Cost / Ounces = $3.75 / 64.75 = $0.058 (to the nearest cent)
So, the unit rate for each size is:
Size A: $0.12
Size B: $0.08
Size C: $0.05
Size D: $0.06
To find the unit rate, you need to divide the cost by the number of ounces for each size. The unit rate gives you the cost per ounce of orange juice.
For Size A:
The cost is $0.99 and the size is 8 1/2 ounces.
To convert the mixed number (8 1/2) to a decimal, you add the whole number part (8) to the fraction part (1/2) divided by the denominator (2).
8 1/2 = 8 + 1/2 = 8.5
The unit rate for Size A is $0.99 divided by 8.5 ounces.
For Size B:
The cost is $1.49 and the size is 18 2/3 ounces.
Using the same method as above, convert the mixed number (18 2/3) to a decimal.
18 2/3 = 18 + (2/3) = 18.67
The unit rate for Size B is $1.49 divided by 18.67 ounces.
For Size C:
The cost is $2.49 and the size is 48 1/4 ounces.
Convert the mixed number (48 1/4) to a decimal.
48 1/4 = 48 + (1/4) = 48.25
The unit rate for Size C is $2.49 divided by 48.25 ounces.
For Size D:
The cost is $3.75 and the size is 64 3/4 ounces.
Convert the mixed number (64 3/4) to a decimal.
64 3/4 = 64 + (3/4) = 64.75
The unit rate for Size D is $3.75 divided by 64.75 ounces.
Now let's calculate the unit rates to the nearest cent:
Size A: $0.99 / 8.5 ounces = $0.1165 per ounce (rounded to $0.12 per ounce)
Size B: $1.49 / 18.67 ounces = $0.0797 per ounce (rounded to $0.08 per ounce)
Size C: $2.49 / 48.25 ounces = $0.0516 per ounce (rounded to $0.05 per ounce)
Size D: $3.75 / 64.75 ounces = $0.0579 per ounce (rounded to $0.06 per ounce)
So the unit rates, rounded to the nearest cent, are:
Size A: $0.12 per ounce
Size B: $0.08 per ounce
Size C: $0.05 per ounce
Size D: $0.06 per ounce
1. Learn to type fractions correctly online. I corrected all these for you.
2. Read and learn; then let the math tutors know what you calculate, and they can help you from there.
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