A truck is carrying pear juice, cherry juice, and apple juice bottles in a ratio of 3:1:3. If there are 16 cherry juice bottles, then how many juice bottles in total are there?
pear juice : cherry juice : and apple juice = 3:1:3 = 3x:x:3x
given: x = 16
so 3x = ????
3x=48?
yes, 3 x is 48
but
you have
48 + 16 + 48
To find the total number of juice bottles, we need to determine the quantities for pear juice and apple juice.
Given that the ratio of pear juice to cherry juice to apple juice is 3:1:3, and that there are 16 cherry juice bottles, we can deduce the following:
If 1 part of the ratio represents 16 cherry juice bottles, then 3 parts of the ratio (which represents the pear juice) would be 3 times the amount of cherry juice, or 3 x 16 = 48 pear juice bottles.
Similarly, since the ratio for apple juice is also 3:1, there would be 3 times the amount of cherry juice, or 3 x 16 = 48 apple juice bottles.
Adding up the quantities, we have:
Pear juice bottles: 48
Cherry juice bottles: 16
Apple juice bottles: 48
To calculate the total number of juice bottles, we add up all three quantities:
Total = Pear juice bottles + Cherry juice bottles + Apple juice bottles
Total = 48 + 16 + 48
Total = 112
Therefore, there are a total of 112 juice bottles in the truck.