toricepeda82
16.11.2020 •
Mathematics
Lashawn used 44 stamps to mail a package. He used a
combination of $0.50 stamps, $0.35 stamps, $0.02 stamps,
totaling $15.01. If the number of $0.35 stamps is nine less
than twice the number of $0.50 stamps, find the number of
each type of stamp.
Solved
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Ответ:
Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package
Step-by-step explanation:
The given parameters are;
The number of stamps Lashawn used to mail the small package = 44
The price of the combination of 44 stamp = $15.01
The price categories of the stamps are $0.50, $0.35, and $0.02
The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9
Let, x represent the number of $0.50 stamps Lashawn used to mail the package
We have;
The number of $0.50 stamps Lashawn used to mail the package = x
The number of $0.35 stamps = 2 × x - 9 = 2·x - 9
The number of $0.35 stamps = 2·x - 9
The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x
The number of $0.02 stamps = 53 - 3·x
Which gives;
0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01
0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01
1.14·x - 2.09 = 15.01
1.14·x = 15.01 + 2.09 = 17.1
x = 17.1/1.14 = 15
x = 15
The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps
The number of $0.50 stamps Lashawn used = 15 stamps
The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps
The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.
Ответ: