Question

Red beads cost $1 an ounce and gold beads cost $3

an ounce. Juanita wants to purchase a 12-ounce
mixture of red and gold beads that she can sell for $2
an ounce. The solution of the system shows the
number of beads needed for Juanita to break even.
x + y = 12
x + 3y = 24
How many ounces of red beads will Juanita buy to
break even?
How many ounces of gold beads will she buy?

Answer 1

How many ounces of red beads will Juanita buy to break even?

6

How many ounces of gold beads will she buy?

6

Explanation:

Because I got 100 percent on EDG 2020

Answer 2

6 ounces of red beads

6 ounces of gold beads

Explanation:

x + y = 12

x + 3y = 24

We can solve this with substitution or elimination. In this case, I would suggest elimination. Subtract the first equation from the second:

2y = 12

y = 6

Plug back into either equation to find x.

x = 6