Basic word problem

Question

A large notebook costs 1.50 more than a small notebook. Karen bought two large notebook and four small notebook while Almonte bought five large notebooks and one small notebook. How much more did Almonte spend than Karan?

Answer 1

Let L be large notebook and S be small notebook

A large notebook costs 1.50 more than a small notebook

L=1.50+S

Two equations from given info

Karan bought two large notebook and four small notebook

2L+4S

Substitute L=1.50+S into above

2(1.50+S) +4S

Distribute

3.00+2S+4S=3.00+6S

Almonte bought five large notebooks and one small notebook.

5L+1S

Substitute L=1.50+S into above

5(1.50+S)+S

Distribute

7.50+5S+S=7.50+6S

Subtracting Almonte's formula minus Karan's formula

7.50+6S - (3.00+6S)

7.50+6S-3.00-6S

$4.50