TJ Prep Problems

TJ Prep practice problems  for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

A Ratio Problem for TJ/SHSAT/AOS/ACT Prep. (Medium). Target Time. 20-35 seconds.

A cargo ship is transporting goats and dogs. The ratio of the number of goats to the number of dogs is 3:5. If the ratio of the average weight of a goat to the average weight of a dog is 3:2, goats account for what % (to the nearest whole number) of the weight of all the animals on the ship?

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