Paul mixed 5 quarts of dry ingredients and 2 quarts of water to make a batch of concrete. He ran out of the mixture before finishing his project, so he made another batch using 15 quarts of dry ingredients how many quarts of water does Paul need to add to keep the consistency of the concrete the same

This is a ratio problem. If dry ing : water = 5 : 2, what is water when dry ing = 15?

The new ratio is 15 : water. How do we get from the first ratio to the new one? We multiply by 5. Meaning, we also need to multiply the 2 quarts of water by 5, giving us 10 quarts of water.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)