Question

Michael, Trina, and Vanessa work together to mow lawns in their neighborhood. Michael mowed 8 lawns in 3 days, Trina mowed 5 lawns in 2 days, and Vanessa mowed 9 lawns in 4 days.

Answer 1

Complete question:

Michael, Trina, and Vanessa work together to mow lawns in their neighborhood. Michael mowed 8 lawns in 3 days, Trina mowed 5 lawns in 2 days, and Vanessa mowed 9 lawns in 4 days. Find the unit rate in lawns per day for each person and place the unit rates in order from least to greatest.

Answer:

2.25 lawns/day (Vanessa), 2.5 lawns/day (Trina), 2.67 lawns/day (Michael)

Explanation:

Rates are numeric expressions that relate values of two different units, in this case lawns and days,

Are usually expressed as fractions, where the denominator value is one. Common examples are:
`(miles)/(hour)` (X miles per 1 hour),
`(\$)/(gallon)` (X dollars per 1 gallon), or in this question:
`(lawns)/(day)` (X lawns per 1 day).

To find the rate for each person, we divide the total lawns by the total days worked:

Michael:
`(8 \; lawns)/(3 \; days) =2.66 (lawns)/(day)`

Trina:
`(5 \; lawns)/(2 \; days) =2.5 (lawns)/(day)`

Vanessa:
`(9 \; lawns)/(4 \; days) =2.25 (lawns)/(day)`

Then we just need to order them in ascending order:

2.25 < 2.5 < 2.66