Question

A student bought 1 box of crayons and 5 reams of paper for 54$ . She bought 5 boxes of crayons and 3 reams of paper for 50$. What is the cost of each box of crayon and each ream of paper

Answer 1

you need to solve this simultaneously

c = crayons, p = reams of paper

so

c + 5p = 54

5c + 3p = 50


this can be solved by substitution

take the 1st equation and make c the subject..

x = 54 - 5p

substitute it into the 2nd equation

5(54 - 5p) + 3p = 50

distribute and simplify

270 - 25p + 3p = 50

- 22p = -220

I'll let you solve for p....

this will be the cost of 1 ream of paper...

when you know the cost... substitute into either of the original equations to find the cost of a box of crayons...