Question

The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?


Part B
How will the ratio change if Jim and Terrence each sell ten of their model cars?

The ratio would stay the same.


The new ratio would be 4 : 3.


The new ratio would be 23 : 29.


The new ratio would be 19 : 13.

Answer 1

Part A: Let the scale factor be k. Since 6k = 36, k = 6. Jim has 8k = 8·6 = 48 model cars.

Part B: After each sells 10: Jim = 48 − 10 = 38, Terrence = 36 − 10 = 26, so the ratio is 38:26 = 19:13. (Choose 19 : 13.)