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At the post office, Marilyn spent 125.04 on 56 Stamps,made up of a combination of 49- cent and 34-cent stampsHow many stamps of each denomination did she buy?

Sagot :

x = 49- cent stamps

y= 34-cent stamps

x + y = 56 (equation 1)

0.49x + 0.34y = 25.04 (equation 2)

Then, on equation 1 we solve for x.

x = 56 - y (3)

now we replace equation 3 on equation 2.

0.49(56 - y) + 0.34y = 25.04

27.44 - 0.49y + 0.34y = 25.04

27.44 - 0.15y = 25.04

27.44 - 25.04 = 0.15y

2.4 = 0.15y

y = 2.4/0.15

y = 16 (There are 16 of the 34-cent stamps)

Now we replace the value of y on the first equation

x + 16 = 56

x = 56 - 16

x = 40 (There are 40 of the 49- cent stamps)

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