An art supply store typically sells 3 bottles of blue paint for every 2 bottles of purple paint. How many bottles of purple paint does it sell when it sells 15 bottles of blue paint?
The store sells ___ bottles of purple paint.
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An art supply store typically sells 3 bottles of blue paint for every 2 bottles of purple paint. How many bottles of purple paint does it sell when it sells 15 bottles of blue paint?
The store sells ___ bottles of purple paint.
To find out how many bottles of purple paint the store sells when it sells 15 bottles of blue paint, we can set up a ratio based on the information given.
The ratio of blue paint to purple paint is 3:2. This means that for every 3 bottles of blue paint, there are 2 bottles of purple paint.
Now, we can set up a proportion:
– If 3 blue = 2 purple,
– Then 15 blue = x purple.
To find x, we can use the ratio:
[
frac{3}{2} = frac{15}{x}
]
Now, we can cross-multiply:
[
3x = 15 times 2
]
[
3x = 30
]
Now, divide both sides by 3:
[
x = frac{30}{3} = 10
]
So, when the store sells 15 bottles of blue paint, it sells 10 bottles of purple paint.