One solution, because both of the lines meet
Answer:
is this all?
Step-by-step explanation:
Answer:
6 dozens
Step-by-step explanation:
Vanilla, v = x
Chocolate, c = 3x
Strawberry, s = 3 dozens = 36
Total cupcakes = 132
Hence,
x + 3x + 36 = 132
4x = 96
x = 96 / 4
x = 24
Chocolate = 3 * 24 = 72
Dozens of chocolate = 72 /12 = 6 dozens
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.