In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent $1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

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