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Mazyrski [523]
3 years ago
10

A chemist wishes to mix a 30% acid solution with a 65% acid solution to obtain 175 quarts of 55% acid solution . How many quarts

of each solution should be mixed toguether?
Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

x = quarts of 30% acid solution

y = quarts of 65% solution

x + y = 175

Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So

0.3x + 0.65y = 0.55*175 = 96.25

That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.

Now solve for x and y:

x + y = 175  ==>  y = 175 - x

0.3x + 0.65y = 96.25  ==>  0.3x + 0.65(175 - x) = 96.25

==>  0.3x + 113.75 - 0.65x = 96.25

==>  17.5 = 0.35x

==>  x = 50  ==>  y = 125

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8 0
1 year ago
A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each
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12 is the number of $10 bills

20 is the number of $20 bills

<u><em>Step-by-step explanation:</em></u>

<u><em /></u>

Hello,

<u>Let's note</u>

a    the number of $10 bills

b    the number of $20 bills

The total value is $520 so we can write the first equation (1)

    \boxed{\sf 10a \ + \ 20b \ = \ 520 }

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Thank you

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3 years ago
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