The frist brand is 30% and the second on is 55% in order to obtain 30 gallons of mixture that contains 35% how many gallons of e
ach brand must you usr
2 answers:
yeet
first brand quantity is x
2nd brand quantity is y
x+y=30
0.3x+0.55y=0.35(30) or 0.3x+0.55y=10.5
solve for x and y
multiply first equation by -0.3
-0.3x-0.3y=-9
add to 2nd equation
0.3x-0.3y=-9
<u>0.3x+0.55y=10.5 +</u>
0x+0.25y=1.5
0.25y=1.5
divide both sides by 0.25
y=6
sub back
x+y=30
x+6=30
x=24
you need 24 gallons of the first brand and 6 gallons of the 2nd brand
Answer: First Brand = 24 gallons, Second Brand = 6 gallons
<u>Explanation:</u>
Quantity % Qty (%)
First Brand x 0.30 0.30x
Second Brand <u> 30 - x </u> <u> 0.55 </u> <u>0.55(30 - x) </u>= 16.5 - 0.55x
Total 30 * 0.35 = 0.30x + 16.5 - 0.55x
30(0.35) = 16.5 - 0.25x
10.5 = 16.5 - 0.25x
-6.0 = - 0.25x
24 = x
Second Brand: 30 - x = 30 - 24 = 6
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