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Iteru [2.4K]
3 years ago
13

A bag with 2 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. It can make one full jar with how many ounces of pean

uts?
Mathematics
1 answer:
lbvjy [14]3 years ago
5 0
One whole jar= 3/3 or 1

Set up a ratio comparing the two sets of measurements.

2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.

x= ounces in 1 whole jar

2 2/4 / 2/3= x / 3/3
cross multiply

(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions

10/4 * 3/3= 2/3x
multiply numerators; multiply denominators

(10*3)/(4*3)= 2/3x

30/12= 2/3x
divide both sides by 2/3

30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3

30/12 * 3/2= x
multiply numerators; multiply denominators

(30*3)/(12*2)= x
90/24= x
simplify by 6

15/4 or 3 3/4 ounces= x


ANSWER: 3 3/4 ounces can make a full jar.

Hope this helps! :)
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