To make four and a half gallons of ice cream it takes 6 3/10 gallons of milk how many gallons of milk does it take to make one gallon of ice cream

Question

16-10-2017
Mathematics

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To make four and a half gallons of ice cream it takes 6 3/10 gallons of milk how many gallons of milk does it take to make one gallon of ice cream

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taylorann11661 taylorann11661 · Answer 1 · 2017-10-16T05:08:36+02:00

ice cream = 4 1/2 gallons
milk = 6 3/10 gallons

ice cream: 4 1/2 = (4*2 + 1)/2 = 9/2
milk: 6 3/10 = (6*10 +3)/10 = 63/10

milk:ice cream proportion: a:b = c:d where a*d = b*c
a = 63/10 ; b = 9/2 ; c = x ; d = 1

63/10:9/2 = x:1
63/10 * 1 = 9/2 * x
63/10 = 9x/2
63/10 * 2 = 9x/2 * 2
126/10 = 9x
126/10 * 10 = 9x * 10
126 = 90x
126/90 = 90x/90
1 36/90 = x

x = 1 36/90 simplified to 1 13/30

1 13/30 gallons of milk will make 1 gallon of ice cream.