Answer: We need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
Step-by-step explanation:
Let x be number of pints of the first fruit drink which is ( 55% pure fruit juice), while y will be the number of pints of second fruit drink (85% pure fruit juice).
We know that there are 60 total pints. Therefore:
x + y = 60
We also know that 60% of the 60 pints will be pure fruit juice, and the pure fruit juice will either come from
x or y.
For x pints of first juice, there is 0.55x pure fruit juice while for y pints of first juice, there is 0.85y pure fruit juice. Therefore, we get:
0.55x + 0.85y = 60 × 0.6
0.55x + 0.85y = 36
We will get rid of the decimals by multiplying through by 100. This will be:
55x + 85y = 3600
Combining both equations
x + y = 60 .......... i
55x + 85y = 3600 ........ ii
Multiply equation i by 55
Multiply equation ii by 1
55x + 55y = 3300
- 55x + 85y = 3600
Then subtract
-30y = -300
y = 10
Therefore, we need we need 10 pints of the second fruit juice (85% pure fruit juice). Therefore, we need
(60-10 = 50) pints of the first fruit juice (55% pure fruit juice).
