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?
Accepted Solution
A:
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