Answer:
10.5 bottles of orange juice
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