A bag with 2 and 2/4 ounces of peanuts can make 2/3 of a jar of peanut butter. How many ounces of peanuts for one jar of peanut butter? *

Answer : 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! :