Answer: 11 boxes of cards for $72
Step-by-step explanation:
Brennan's equation would be
y=6x+6
Gabriel's Equation would be
y=5x+17
when they spend the same amount the equations will be equal
6x+6=5x+17
x+6= 11
x=11
so 11 boxes they would spend the same
To figure out cost, put 11 into the first equations
y=6(11)+6= 66+6= 72
y=5(11)+17= 55+17 = 72
so they each spent $72
Answer:
2x-9y=-51
2x-3y=-9
subtract question ii from i we get
-6y = -42
y =7
put value of y in 1
2x - 63 = -51
2x= 8
x=4
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.
So
Total cost of the workbooks is d
And the number of workbooks is t
Therefore d = 95
95=19t
t=95/19=5
5 workbooks
