Question

the cost of 3 markers and 2 pencils is 1.80. The cost of 4 markers and 6 pencils is 2.90. What is the cost of each item.

Answer 1

Multiply the first equation by (-3) and add it to the second equation.

-9m- 6p = -5.40
4m + 6p = 2.90

-5m = -2.50
m = 0.50

Plug this value for m into the 1st equation and solve for p

3*(0.50) + 2p = 1.80
1.50 + 2p = 1.80
2p = 0.30
p = 0.15

So a marker cost 50 cents and a pencil cost 15 cents

Answer 2

Hello There!

Follow through:

3m + 2p = 180
4m + 6p = 290

Scale it up:

(3m + 2p = 180) x 3 = 9m + 6p = 540

Use simultaneous equations:

9m + 6p = 540
4m + 6p = 290 <==== Subtract them
5m = 250

Divide by 5:

m = 50

Substitute it into one of the equations:

3(50) + 2p = 180
150 + 2p = 180

Subtract 150:

2p = 30

Divide by 2:

p = 15

A marker costs 50 cents.
A pencil costs 15 cents.

Hope This Helps You!
Good Luck :)

- Hannah ❤