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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 each brand must you usr

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apologiabiology

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

0.3x+0.55y=10.5 +

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

tramserran

Answer: First Brand = 24 gallons, Second Brand = 6 gallons

Explanation:

                          Quantity         %           Qty (%)

First Brand              x              0.30          0.30x

Second Brand     30 - x        0.55          0.55(30 - x) = 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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