Question

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. which equation can he use to find x, the number of gallons of water he should add? original (gallons) added (gallons) new (gallons) amount of bleach 0.8 0 0.8 amount of solution 8 x 8 x startfraction 0.8 over 8 x endfraction times startfraction 5 over 100 endfraction = 1 startfraction 0.8 over 8 x endfraction times = startfraction 5 over 100 endfraction startfraction 0.8 over 8 x endfraction = startfraction 100 over 5 endfraction startfraction 0.8 over 8 x endfraction divided by startfraction 5 over 100 endfraction = 1

Answer 1

To find the number of gallons of water, use the equation 0.10 * 8 = 0.05 * (8 + x). Multiply the volume by the concentration and solve for x.

Step-by-step explanation:

To find the number of gallons of water Darryl should add, he can use the equation:

0.10 * 8 = 0.05 * (8 + x)

First, multiply the volume of the original solution (8 gallons) by the concentration of bleach in the original solution (0.10) to find the amount of bleach in the original solution.

Then, set this equal to the concentration of bleach in the new solution (0.05) multiplied by the volume of the new solution (8 + x gallons). Solve for x to find the number of gallons of water to add.