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Chapter 2: Q. 371 (page 265)

Stamps Paula bought $22.82 worth of 49-cent stamps and 21-cent stamps. The number of 21-cent stamps was 8 less than the number of 49-cent stamps. Solve the equation 0.49s+0.21(s鈭�8)=22.82for s, to find the number of 49-cent stamps Paula bought.

Short Answer

Expert verified

Thenumberof49-centstampsPaulaboughtiss=35

Step by step solution

01

Step 1. Given information

The given equation is 0.49s+0.21(s鈭�8)=22.82

We have to find the number of 49-cent stamps Paula bought.

02

Step 2. Explanation

Solve:0.49s+0.21(s鈭�8)=22.82鈬�0.49s+0.21脳(s)鈭�0.21脳(8)=22.82(Distribute)鈬�0.49s+0.21s鈭�1.68=22.82(Multiply)鈬�0.7s鈭�1.68=22.82(Combineliketerm)鈬�0.7s鈭�1.68+1.68=22.82+1.68(Add1.68tobothsides)鈬�0.7s=24.5(Simplify)鈬�0.70.7s=24.50.7(Dividebothsideby0.7)鈬�s=35(Simplify)Thenumberof49-centstampsPaulaboughtiss=35

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