Question #016ba

Question

Question #016ba

2 Answers

Impact of this question

2385 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-04T20:12:35

$\frac{3}{17}$ $3/17$ of a gallon of water

Explanation:

A solution that is $85 %$ $85%$ antifreeze means it is in the ratio:

Antifreeze : water

$85 % : 15 % \leftarrow$ $85% : 15%" "larr$ this simplifies to

$17 : 3$ $17:3$

Use direct proportion:

$\frac{1 gallon}{17} = \frac{x}{3}$ $(1 "gallon")/(17) = x/(3)$

$x = \frac{1 \times 3}{17}$ $x = (1 xx 3)/17$ gallons

$x = \frac{3}{17}$ $x = 3/17$ of a gallon of water must be added.

Answer 2 · 2017-09-04T22:11:38

Another approach just for the hell of it!

$\frac{3}{17}$ $3/17$ gallons $\approx 0.1765$ $~~0.1765$ gallons to 4 decimal places

Explanation:

We know that we are going to use all of the 1 gallon of antifreeze.

The target concentration is 85%

Let the final volume of the blend be $x$ $x$

Then 85% of $x = 1 gallon$ $x = 1" gallon"$

Thus we have

$\frac{85}{100} x = 1$ $85/100x=1$

$x = 1 \times \frac{100}{85}$ $x=1xx100/85" "$ this is water + antifreeze

so the amount of added water is:

$\frac{100}{85} - 1 ddd \to ddd \frac{100}{85} - \frac{85}{85}$ $100/85 - 1color(white)("ddd")->color(white)("ddd")100/85-85/85$

$= \frac{15}{85} dddd \to ddddd \frac{15 \div 5}{85 \div 5} ddd = d \frac{3}{17}$ $=15/85color(white)("dddd")->color(white)("ddddd")(15-:5)/(85-:5)color(white)("ddd") =color(white)("d") 3/17$ of a gallon

$\approx 0.1765$ $~~0.1765$ gallons to 4 decimal places

Science

Math

Humanities

... and beyond

Question #016ba

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question