Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
Answer:
answer: All real numbers, or No solutions
Step-by-step explanation:
okay, the equation says 4(x+4)=(4x+16)
if we apply 4 to the parenthesis we get 4*(x+4)=4x+16
so basically the equation is telling us 4x+16=4x+16, which gives us all real numbers or No solutions as the answer
Answer:
fraction form- 372/100
decimal- 3.72
Step-by-step explanation:
Step-by-step explanation:
You know you are finished dividing when you can no longer simply & when you plug it back in to check the answer
