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13 November, 18:42

A goldfish cost $12. An angelfish costs 75% less. Sam paid $198 for some goldfish and angelfish. 60% of the fish he bought were angelfish. How much more money did he spend on goldfish than angelfish?

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  1. 13 November, 18:59
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    Price of goldfish = $12

    Price of angelfish = 0.75*12 = $3

    If the number of goldfish is x and the number of angelfish is y then:

    198 = 12x + 3y

    x + y = z (with z being the total number of fish bought)

    Now if we use the information that 60% of the fish bought were angelfish we can say:

    198 = 12*0.4z + 3*0.6z

    198 = 4.8z + 1.8z

    198 = 6.6z

    z = 30

    So if he bought 30 fish in total and 60% of them were angelfish then the number of angelfish is:

    30*0.6 = 18

    If the price of each angelfish is $3, then he payed:

    18*3 = $54

    If the price of each goldfish is $12, then he payed:

    12*12 = $144

    Now we can subtract the cost of the angelfish from the cost of the goldfish:

    144 - 54 = $90

    Therefor he spent $90 more on goldfish than angelfish
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