Question

a soap machine puts out 3/10 oz of soap each time a person washes their hands . The machine contains 9 3/5 oz of soap. What is the greatest number of times the machine can put out soap

Answer 1

To find the greatest number of times the soap machine can dispense soap, divide the total amount of soap (9 3/5 oz, converted to 48/5 oz) by the amount of soap per use (3/10 oz), which equals 32 times.

Step-by-step explanation:

The question asked is: What is the greatest number of times a soap machine, which contains 9 3/5 oz of soap, can put out 3/10 oz of soap each time someone washes their hands?

To solve for the greatest number of times the machine can put out soap, you need to divide the total amount of soap in ounces by the amount dispensed per use. First, convert 9 3/5 oz to an improper fraction which is (9×5)+3/5 = 48/5 oz. Then divide this by 3/10 oz:

Convert mixed number to improper fraction: 9 3/5 = 48/5 oz.

Divide the total soap by soap per use: (48/5) u00f7 (3/10) = 32 times.

So, the soap machine can put out soap 32 times before running out of soap.

Answer 2

The soap machine can put out soap 32 times.

Step-by-step explanation:

To find the greatest number of times the machine can put out soap, we need to divide the total amount of soap in the machine by the amount of soap dispensed each time. The machine contains 9 3/5 oz of soap, which can also be written as 9.6 oz. Each time a person washes their hands, the machine dispenses 3/10 oz of soap.

To find the greatest number of times the machine can put out soap, we divide 9.6 by 3/10.

9.6 ÷ (3/10) = 9.6 × (10/3) = 96 ÷ 3 = 32.

Therefore, the greatest number of times the machine can put out soap is 32.