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13 June, 04:17

Mario bought $5 worth of stamps at the post office. He bought ten more 6 cents stamps than 10 cents stamps. The number of 8 cents stamps was three times the number of 10 cents stamps. He also bought two 20 cents stamps. How many of each kind of stamp did he purchase?

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  1. 13 June, 04:32
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    S=number of 6 cent stamps

    t=number of ten cen stamps

    e=number of 8 cent stamps

    w=number of 20 cents stamps=2

    cost=500 cents

    6s+10t+8e+20w=500

    w=2 since two 20 cent stamps wer bought

    6s+10t+8e+40=500

    minsu 40 both sides

    6s+10t+8e=460

    divide both sides by 2 to simplify

    3s+5t+4e+230

    also

    10 more 6 cent than 10 cent

    s=10+t

    8 cent stamps is 3 times 10 cent stamps

    e=3t

    sub

    s=10+t

    e=3t

    3 (10+t) + 5t+4 (3t) + 230

    30+3t+5t+12t=230

    30+20t=230

    minus 30

    20t=200

    divid 20

    t=10

    sub back

    s=10+t

    s=10+10

    s=20

    e=3t

    e=3 (10)

    e=30

    20 six cent

    30 eight stamp

    10 ten cent

    2 twenty cent
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