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 1

The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.

Step-by-step explanation:

To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.

For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.

For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.

For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.

Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day

Answer 2

Unit rate if Michael is
`(8)/(3)` lawns in 1 day

Unit rate of Trina is
`(5)/(2)` lawn in 1 day

Unit rate of Vanessa is
`(9)/(4)` lawns in 1 day

Order from least to greatest = 2.25, 2.5, 2.667

Solution:

Michael mowed 8 lawns in 3 days

Here, unit rate is lawns moved in 1 day

`\text{Lawn moved in 1 day } = (8)/(3) = 2.667`

Trina mowed 5 lawns in 2 days

`\text{Lawn moved in 1 day } = (5)/(2) = 2.5`

Vanessa mowed 9 lawns in 4 days

`\text{Lawn moved in 1 day } = (9)/(4) = 2.25`

Order from least to greatest

2.25, 2.5, 2.667

Which means,

least to greatest = Vanessa , Trina, Michael