Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4 more than twice the number of postcards. How many of each did he buy?
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Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.
Step-by-step explanation:
Let stamps be s and postcards be p:
Jason bought bought 41-cent stamps and 26-cent postcards and spent $10.28.
41s + 26p = 1028 ------------------------(1)
The number of stamps was 4 more than twice the number of postcards.
s - 4 = 2y
s - 2p = 4 ------------------------------(2)
(1) ------------------ 41s + 26p = 1028
(2) * 13 ------------ 13s - 26p = 51
Adding ------------ 54 s = 1079
s = 1079 / 54 = 19.98
Since s is a whole number, we approximate it to s = 20
Substituting in equation 2, we get 20 - 2p = 4
2p = 16
so p = 8
Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.
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