Question

Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes. Which comparison of the detergents is accurate?

Detergent A uses exactly 1 fluid ounce per load more than detergent B.
Detergent A uses exactly 1 fluid ounce per load less than detergent B.
Detergent A uses less than 1 fluid ounce per load more than detergent B.
Detergent A uses less than 1 fluid ounce per load less than detergent B.

Answer 1

Detergent A uses exactly 1 fluid ounce per load more than detergent B.

Explanation:

We are given that Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes.

We have to compare that which detergent is accurate.

As we know that the formula for finding fluid ounce per load is given by;

Fluid ounce per load =
`\frac{\text{Amount of fluid ounces}}{\text{Amount of loads}}`

• For detergent A;

Fluid ounces = 48

Loads of dishes = 16

So, fluid ounce per load =
`(48)/(16)`

= 3 fluid ounce per load

• For detergent B;

Fluid ounces = 76

Loads of dishes = 38

So, fluid ounce per load =
`(76)/(38)`

= 2 fluid ounce per load

So, we can clearly see that Detergent A uses exactly 1 fluid ounce per load more than detergent B, ie. (3 - 2) = 1 fluid ounce per load.