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.

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 ❤

The household makes $424.45