If blueberries cost $4.00 per pound, how many pounds of blueberries can you buy for $1.00?
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If x is the number of berries you can buy with 1 dollar,
1 pound of blueberries = $4.00
x pound of berries = $1.00
Lets set up a proportion- because these are directly proportional- when there is more pounds of berries, it will cost more.
[tex]\frac{1}{4.00} = \frac{x}{1.00}[/tex]
Cross multiply
4x=1
Divide both sides by 4 to isolate x
x=1/4 or $0.25
(a) Amount of Blueberries can be bought in [tex]\$\;1.00[/tex] is [tex]\frac{1}{4}\;\rm{pound[/tex].
(b) Amount of blueberries bought in pounds for [tex]\$\;13.00[/tex] is [tex]3.25\; \rm{pound}[/tex].
Given: If blueberries cost [tex]\$\;4.00[/tex] per pound.
As mentioned in the question,
(a) Cost of a blue berries per pound is [tex]\$\;4.00[/tex].
Now, Amount of Blueberries can be bought in [tex]\$\;1.00[/tex] is [tex]\frac{1}{4}\;\rm{pound[/tex]
(b) Amount of blueberries bought in pounds for [tex]\$\;13.00[/tex] is [tex]\frac{1}{4}\times 13=\frac{13}{4}=3.25\; \rm{pound}[/tex]
Therefore, (a) Amount of Blueberries can be bought in [tex]\$\;1.00[/tex] is [tex]\frac{1}{4}\;\rm{pound[/tex].
(b) Amount of blueberries bought in pounds for [tex]\$\;13.00[/tex] is [tex]3.25\; \rm{pound}[/tex].
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