Answer:
6 large and 8 small notebooks were purchsed.
Explanation:
Let x stand for the number of big notebooks bought. Let s be the number of small notebooks purchased.
We are told that:
s = x + 2 [He bought 2 more small notebooks than big notebooks]
We also know:
A small notebook costs $3.40, and
Each big notebook costs $5.60
The total amount spent would be:
($5.60x) + ($3.40*s) = $60.80 [The price times the number of notebooks is the amount spent on all x (large) and s (small) notebooks. The sum is the total spent ($60.80)]
We have 2 equations and 2 unknowns (x and s), so we should be able to find an answer using substitution. Lets substitute the first equation into the second by using the definition of s as (x+2).
($5.60x) + ($3.40*s) = $60.80
($5.60x) + ($3.40*(x+2)) = $60.80 [Substituted (x+2) for x]
(5.60x) + ($3.40x + $6.80) = $60.80
$9.00x = $60.80 - $6.80
x = ($54.00/$9.00)
x = 6 large notebooks
Since s = x + 2, we know that 8 small notebooks were purchased.
Large: 6 and Small: 8
CHECK: Do 6 large and 8 small notebooks add to a total cost of $60.80?
Large: 6 * $5.60 = $33.60
Small: 8 * $3.40 = $27.20
Total = $60.80 YES