Question

3 a. Gavin has nickels, dimes, and quarters in the ratio of 8:1:2. If 30 of Gavin's coins are
quarters, how many nickels and dimes does Gavin have?​

Answer 1

Answer:

30 of the coins are quarters. since the ratio of dimes to quarters is 1 to 2, this means that are 15 dimes. since the ratio of nickels to dimes is 8 to 1, this means there are 120 nickels. gavin would have 120 nickels and 15 dimes and 30 quarters.

Answer 2

Answer: He has 120 nickels and 15 dimes

Step-by-step explanation:

8 nickels to 1 dime to 2 quarters.

So if he has 30 quarters that means we have 15 times as many quarters 2 X 15 = 30.

So every other ratio needs to be increased by the same amount or 15 X.

So 8 nickels becomes 8 X 15 = 120 nickels, and 1 dime becomes 1 X 15 = 15 dimes