We have a concentrated cleaning solution that’s 1 quart of concentrate to 3 quarts of water. We want to make 2 gallons of a diluted solution. How many quarts of concentrate and quarts of water will we need to make the 2 gallons of diluted solution?

To make 2 gallons of a diluted cleaning solution, we need to calculate the amount of concentrate and water required.

First, let’s convert 2 gallons to quarts. Since 1 gallon is equal to 4 quarts, 2 gallons is equal to

\$2 \times 4\$ = 8 quarts

The concentrate-water ratio in the diluted solution is same as the concentrated solution which is 1:3.

To calculate the amount of concentrate required, we can use the following formula:

\$ "quarts of concentrate" = ("quarts of diluted solution") / ("total ratio") \$

The total ratio is the sum of the ratios of concentrate and water in the diluted solution, which is

1 + 3 = 4

Substituting the values, we get: quarts of concentrate =

\$ (8) / (4) \$ = 2

Therefore, we need 2 quarts of concentrate for making 2 gallons of a diluted cleaning solution.

To calculate the amount of water required, we can use the same formula as above:

quarts of water = (quarts of diluted solution) - (quarts of concentrate)

Substituting the values, we get:

quarts of water = (8) - (2) = 6

Therefore, we need 6 quarts of water for making 2 gallons of a diluted cleaning solution.

So, to make 2 gallons (8 quarts) of a diluted solution, we will need 2 quarts of concentrate and 6 quarts of water.

Answer

B