Question

Mr hopper did the rest need help

Answer 1

Let g = graph paper and r = ruler

1st equation: 5g + 30r = 40

2nd equation: 12g + 20r = 44

Multiply the 2nd equation by -1.5 to cancel out the r's

2nd equation: 12g + 20r = 44 x -1.5 = -18g - 30r = -66

Now add the 1st equation to that:

-18g + 5g = -13g

30r -30r = 0

40 -66 = -26

The new equation becomes -13g = -26

Divide both sides by -13

g = -26 / -13

g = 2

This means each pack of graph paper cost $2.

Now replace g with 2 in the first equation to solve for the cost of a rule:

5(2) + 30r = 40

Simplify:

10 + 30r = 40

Subtract 10 from each side:

30r = 30

Divide both sides by 30:

r = 30 / 30

r = 1

Each rule cost $1.

Answer 2

.-..........................