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:
2.00
Step-by-step explanation:
If the baker made 5 pounds of icing and used 4/9 of the icing to make decorations, then he used:
5 * 4/9 =
= 20/9 =
= 2 2/9 [of icing]
To find out how much he has left over, we just need to substract 2 2/9 from 5:
5 - 2 2/9 =
= 3 - 2/9 =
= 2 7/9
Answer: The baker has <u>2 7/9</u> of the icing left.
D) i think
, all values of x that are greater than equal to 1
7
8
