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photoshop1234 [79]
2 years ago
5

Every month, Helen budgets $110 for coffee from the coffee bar located in the lobby of her apartment building. If she stops by t

he bar every morning and her average order costs $3.88, how much money will she have left after 16 days?
Mathematics
1 answer:
Phoenix [80]2 years ago
7 0

answer:

$<em><u>47.92</u></em>

explanation:

$<em>3.88</em><em> </em><em>×</em><em> </em><em>16</em><em>=</em><em>$</em><em>62.08</em>

$110-$62.08=<em><u>$</u></em><em><u>47.92</u></em><em><u> </u></em>

<em>the</em><em> </em><em>16</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>days</em><em> </em>

<em>110is</em><em> </em><em>the</em><em> </em><em>budget</em><em> </em>

<em>3.88</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>cost</em><em> </em>

<em><u>hope</u></em><em><u> </u></em><em><u>that</u></em><em><u> </u></em><em><u>helps</u></em><em><u> </u></em>

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GREYUIT [131]
1.
12 liters of 26% acid solution contain 26\% \times 12=0.26 \times 12=3.12 liters of acid.
x liters of 40% acid solution contain 40\%x=0.4x liters of acid.
The third solution is made from the two mixed solution so its volume is 12+x, and the volume of acid in it is 0.4x+3.12. Its concentration is 33% or 0.33.
The concentration of a solution is the volume of the solution divide by the volume of acid in it.

\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\&#10;0.07x=0.84 \\&#10;x=12

The answer is B.

2.
12 liters of 16% acid solution contain 16\% \times 12=0.16 \times 12=1.92 liters of acid.
x liters of 40% acid solution contain 40\%x=0.4x liters of acid.
The volume of the third solution is 12+x, and the volume of acid in it is 0.4x+1.92. Its concentration is 32% or 0.32.

\frac{0.4x+1.92}{12+x}=0.32 \\&#10;0.4x+1.92=0.32(12+x) \\&#10;0.4x+1.92=3.84+0.32x \\&#10;0.08x=1.92 \\&#10;x=24

The answer is B.

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x liters of 27% acid solution contain 27\%x=0.27x liters of acid.
The volume of the third solution is 16+x, and the volume of acid in it is 0.27x+2.88. Its concentration is 21% or 0.21.

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The answer is A.

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