SOLUTION: An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. Find the numbe

Question 161856: An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. Find the number of gallons of vanilla ice cream stocked each week.
a. 9 gallons
b. 6 gallons
c. 16 gallons
d. 11 gallons
Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. Find the number of gallons of vanilla ice cream stocked each week.
a. 9 gallons
b. 6 gallons
c. 16 gallons
d. 11 gallons
.
First we have to find the variable for number of gallons of vanilla ice cream. We can name the number "x". There is "x" number of gallons of vanilla ice cream stocked each week.
.
Now that we know how many gallons of vanilla ice cream ( "x" ), we can put it in a formula and solve for "x"
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An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week.
.
It is saying that " 5 gallons of peach ice cream is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week"
.
Let us change the word problem into a formula
.
" 5 gallons of peach ice cream is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week"
.
" 5 gallons of peach ice cream = 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week"
.
" 5 gallons of peach ice cream = 2(amount of vanilla ice cream that the truck stocks each week) - 17 gallons "
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the amount of vanilla ice cream is "x"
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" 5 gallons of peach ice cream = 2(x) - 17 gallons "
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we can get rid of the words, we only need numbers
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, now we can solve for "x"
.
=
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Move (-17) to the left side
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= = , rearranging we get
.
=
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We can now divide each side by "2" to get "x"
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= =
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, we can check by replacing "x" with "11" in the original equation
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= = = ( True )
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, since "x" was the number of gallons of vanilla ice cream stocked each week. The truck stocks 11 gallons of vanilla ice cream each week
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11 gallons of vanilla ice cream is your answer, which is answer "d"
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Hope I helped, Levi
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