Question

A student bought 1 box of crayon and 5 reams of paper for $54. she bought 5 boxes of crayon and 3 reams of paper for $50. what is the cost of each box of crayon and each ream of paper?

Answer 1

1 box + 5 reams of paper = $54
5 box + 3 reams of paper = $50

Let 1 box be b and 1 ream of paper be r.

You can do Simultaneous Equation.

This is the Substitution Method.

b + 5r = $54 --- Equation 1
5b + 3r = $50 --- Equation 2

b = $54 - 5r --- Equation 3

Substitude Equation 3 into 2.

5($54 - 5r) + 3r = $50

$270 - 25r + 3r = $50

- 22r = $50 - $270

- 22r = - $220

r = -$220 ÷ (-22)

r = $10 --- Cost of 1 ream of paper

Now, substitude r=$10 into Equation 3.

b = $54 - 5($10)

b = $4 --- Cost of 1 box of crayons

I hope that after reading my explanation, you'll know how to do these type of questions and understand when to apply simultaneous equation method. :)

If you need further clarifications, leave a comment down below! I'll try my best to help you. :)

Answer 2

A student bought 1 box of crayons and 5 reams of paper for $54 and 5 boxes of crayons and 3 reams of paper for $50.The cost of each box of crayon and each ream of paper will cost $4 for a box of crayons and $10 for a ream of paper.