According to the directions on a bottle of floor cleaner, for routine cleaning, cup of cleaner should be mixed with 1 gal of warm water. How much cloaner should bo
Saved with gal of water?
The mixture will require cups of cleaner.
(Type an intpger, fraction, or mixed number. Simplify your answer.)
4 1

Ask by Bryant Thornton. in the United States

Mar 29,2025

Question

According to the directions on a bottle of floor cleaner, for routine cleaning, cup of cleaner should be mixed with 1 gal of warm water. How much cloaner should bo
Saved with gal of water?
The mixture will require cups of cleaner.
(Type an intpger, fraction, or mixed number. Simplify your answer.)
4 1

Ask by Bryant Thornton. in the United States

Mar 29,2025

UpStudy AI · Accepted Answer

To find out how much cleaner should be saved with $$ 19 \frac{1}{2} $$ gallons of water, we need to first determine the amount of cleaner required for routine cleaning with 1 gallon of water.

Given:
- For routine cleaning, $$ \frac{3}{4} $$ cup of cleaner is mixed with 1 gallon of warm water.

Let's calculate the amount of cleaner required for $$ 19 \frac{1}{2} $$ gallons of water:

1. Convert $$ 19 \frac{1}{2} $$ gallons to a decimal:
$$ 19 \frac{1}{2} = 19.5 \text{ gallons} $$

2. Calculate the amount of cleaner required for 1 gallon of water:
$$ \text{Cleaner per gallon} = \frac{3}{4} \text{ cup} $$

3. Calculate the amount of cleaner required for $$ 19.5 $$ gallons of water:
$$ \text{Cleaner for 19.5 gallons} = 19.5 \times \frac{3}{4} \text{ cups} $$

Now, let's calculate the amount of cleaner required for $$ 19.5 $$ gallons of water.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{19.5\times 3}{4}$$
- step1: Multiply the numbers:
  $$\frac{58.5}{4}$$
- step2: Convert the expressions:
  $$\frac{\frac{117}{2}}{4}$$
- step3: Multiply by the reciprocal:
  $$\frac{117}{2}\times \frac{1}{4}$$
- step4: Multiply the fractions:
  $$\frac{117}{2\times 4}$$
- step5: Multiply:
  $$\frac{117}{8}$$
The amount of cleaner required for $$ 19.5 $$ gallons of water is $$ 14\frac{5}{8} $$ cups.

Therefore, with $$ 19\frac{1}{2} $$ gallons of water, the mixture will require $$ 14\frac{5}{8} $$ cups of cleaner.
The mixture will require $$ 14\frac{5}{8} $$ cups of cleaner.

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