Question

A formula for 8 bottles of window cleaner calls for 6 cups of rubbing alcohol, 2 and one-fourth gallons of water, and 1 and one-half cups of ammonia. How many quarts of rubbing alcohol would the formula call for if a factory made 1,280 bottles for stores to sell to customers?

24 quarts
48 quarts
240 quarts
480 quarts

Answer 1

To determine how many quarts of rubbing alcohol are needed for 1,280 bottles of window cleaner, we need to start with the amounts specified for the formula for 8 bottles and then scale up to 1,280 bottles.

The formula for 8 bottles calls for:
- 6 cups of rubbing alcohol.

Now, we need to find out how much rubbing alcohol is needed for 1,280 bottles.

First, let's find out how many times 8 bottles fit into 1,280 bottles:
\[
\frac{1280 \text{ bottles}}{8 \text{ bottles}} = 160.
\]

This means we need 160 times the amount of each ingredient in the original formula for 8 bottles.

Next, we calculate the total amount of rubbing alcohol for 1,280 bottles:
\[
6 \text{ cups} \times 160 = 960 \text{ cups of rubbing alcohol}.
\]

Now we need to convert cups to quarts. There are 4 cups in 1 quart, so we convert cups to quarts:
\[
\frac{960 \text{ cups}}{4 \text{ cups/quart}} = 240 \text{ quarts}.
\]

Thus, the formula for 1,280 bottles of window cleaner calls for **240 quarts** of rubbing alcohol.

The correct answer is **240 quarts**.