We are asked to list the students from least to greatest according to unit price paid per pencil. Let's start by summarizing all the information from the exercise in a table.
Name
Number of Pencils
Price
Bonita
20
$2.00
Jamal
10
$1.50
Hasina
15
$2.10
We will find the unit price for each person from the table. In other words, we will find how much each person paid for one pencil. Let's start with Bonita. We know that she bought 20 pencils for $ 2.00. We can write a rate to show this situation.
$ 2.00/20pencilsRecall that a unit rate is a rate that has been reduced to a denominator of 1 unit. In this case, the unit rate is the price per pencil. Let's find the unit rate! To keep things simple, we will ignore the units for now.
We found the unit rate!
$ 2.00/20pencils = $ 0.10/1pencil
As we can see, Bonita spent $0.10 per pencil. We can find the unit price that Jamal and Hasina spent by following the same steps.
Name
Number of Pencils
Price
Rate
Unit Rate
Bonita
20
$2.00
$ 2.00/20pencils
$ 2.00 ÷ 20/20pencils ÷ 20 = $ 0.10/1pencil
Jamal
10
$1.50
$ 1.50/10pencils
$ 1.50 ÷ 10/10pencils ÷ 10 = $ 0.15/1pencil
Hasina
15
$2.10
$ 2.10/15pencils
$ 2.10 ÷ 15/15pencils ÷ 15 = $ 0.14/1pencil
Remember, the unit rate is the price per pencil.
Name
Unit Rate
Unit Price
Bonita
$ 0.10/1pencil
$ 0.10 per pencil
Jamal
$ 0.15/1pencil
$ 0.15 per pencil
Hasina
$ 0.14/1pencil
$ 0.14 per pencil
Finally, we can list the students from least to greatest according to unit price paid.
