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How many cups of peaches are needed to make 10 jars of peach-only jam?
F
We know that 3 cups of peaches make 4 jars of peach-only jam. Using this information, we can write a ratio.
3 Cups of peaches/4 Jars of peach jam
Let's assume, for a moment, that Jim is making 10 jars of peach-only jam. The ratio will be equal to the ratio of cups of peaches to 10 jars of jam. If we let p represent the total number of cups of peaches needed to make 10 jars of peach jam, we get the following proportion.
3/4=p/10
Cross multiply
Rearrange equation
.LHS /4.=.RHS /4.
a/b=.a /2./.b /2.
Calculate quotient
Jim needs a total of 7.5 cups of peaches to make 10 jars of jam. If Jim uses equal amounts of peaches and strawberries to make his strawberry-peach jam, he only needs half of this amount of peaches. p=7.5cups/2 Because the amount of peaches and strawberries are equal in this jam, we should substitute p with a variable to represent the strawberries. Let's use s. s=7.5cups/2 Now we can calculate the number of cups of strawberries Jim needs for his strawberry-peach jam.
Jim needs 3 34 cups of strawberries, which corresponds to option F.