Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

10.5 bottles of orange juice

Step-by-step explanation:

Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?

Number of bottles of orange juice = x

Number of bottles of soda water = y

The recipe calls for 3.5 times as many bottles of soda water as orange juice.

Hence,

x = 3.5y

If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle

We have:

3.70y + 0.90× 3.5= 20.55

3.70y + 3.15y = 20.55

6.85 = 20.55

y = 20.55/6.85

y = 3 bottles

Since, Number of bottles of soda water = y, Number of bottles of soda water = 3

Note that: x = 3.5y

x = 3.5 × 3

x = 10.5 bottles

Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles