Answer: There are 48 cans of pineapple juice he would use.
Step-by-step explanation:
Since we have given that
Number of cans of pineapple = 2
for which Number of cans of orange juice = 3
So, ratio of cans of pineapple to cans of orange juice is given by
2:3.
Number of cans of orange juice used = 72
Let the number of cans of pineapple juice be 2x
Let the number of cans of orange juice be 3x.
According to question,
![3x=72\\\\x=\dfrac{72}{3}\\\\x=24](https://tex.z-dn.net/?f=3x%3D72%5C%5C%5C%5Cx%3D%5Cdfrac%7B72%7D%7B3%7D%5C%5C%5C%5Cx%3D24)
so, Number of cans of pineapple juice would be
![2x=2\times 24\\\\=48](https://tex.z-dn.net/?f=2x%3D2%5Ctimes%2024%5C%5C%5C%5C%3D48)
Hence, there are 48 cans of pineapple juice he would use.