Question

Can someone help me it’s due today

Answer 1

1 quart must be added

Explanation:

To do this, set up an equation.

Let x be the number of quarts of antifreeze to be added. Then, you know that the new solution will have a total of 4 quarts with 2/5 of it being antifreeze, so
`(2)/(5) (x+3)` would be the amount of antifreeze. Another way to represent the amount of antifreeze is
`x + (3)/(5)` because the original mixture has 3/5 of quart of antifreeze, while the added stuff is fully antifreeze.

Now, you just solve the equation:

`(2)/(5) (x + 3) = x + (3)/(5)`

multiply both sides by 5

`2(x + 3) = 5x + 3`

Use the distributive property on the left

`2x + 6 = 5x + 3`

subtract 2x from both sides

`6 = 3x + 3`

subtract 3 from both sides

`3 = 3x`

divide both sides by 3

`1 = x \\x = 1`

Therefore the answer is 1 quart