Jen makes beaded jewelry to sell at art fairs. The price of the bags she can buy are shown below. Jen does not want to use beads that cost more than $1 each. Bag A. 100 beads for $18.25, Bag B. 10 beads for $15.50, Bag C.1000 beads for $12.00. Which bag of beads should Jen buy? Write equations to justify your reasoning

1 answer

Let's represent the cost of each bead in Bag A as 'a', in Bag B as 'b', and in Bag C as 'c'. We need to determine which bag of beads Jen should buy, considering that she does not want to use beads that cost more than $1 each.

From the given information, we can set up the following equations:

Equation 1: a / 100 = 18.25 / 100 beads per dollar
Simplified: a = 0.1825

Equation 2: b / 10 = 15.50 / 10 beads per dollar
Simplified: b = 1.55

Equation 3: c / 1000 = 12.00 / 1000 beads per dollar
Simplified: c = 0.012

Since Jen does not want to use beads that cost more than $1 each, we can eliminate Bag A as the cost of each bead in Bag A (0.1825) is greater than 1.

The cost of each bead in Bag B is $1.55, which also exceeds the limit of $1 set by Jen.

The cost of each bead in Bag C is $0.012, which is well within Jen's price range.

Therefore, Jen should buy Bag C, as the cost of each bead is below $1.