Let's denote the cost of each bead from Bag A as 'a', from Bag B as 'b', and from Bag C as 'c'.
From Bag A, we can write the equation:
100a = $18.25
From Bag B, we can write the equation:
10b = $15.50
From Bag C, we can write the equation:
1000c = $12.00
We can divide both sides of the equations by the number of beads to find the cost per bead:
a = $18.25 / 100 = $0.1825 (rounded to 4 decimal places)
b = $15.50 / 10 = $1.55
c = $12.00 / 1000 = $0.012
Since Jen does not want to use beads that cost more than $1 each, she should not buy beads from Bag B (since it costs $1.55 per bead).
The cost of beads from Bag A is $0.1825 per bead, which is less than $1, so she could buy beads from Bag A.
The cost of beads from Bag C is $0.012 per bead, which is also less than $1, so she could buy beads from Bag C as well.
In conclusion, Jen should buy beads from both Bags A and C.
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
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