A student solved this problem by working backward.

Tom had some marbles. He had three times as many marbles as Ralph. Ralph had 6 marbles. Tom lost 3 marbles and bought 6 new marbles. How many marbles does Tom have now?

Student's solution - Ralph has 6 marbles, so Tom has 6 * 3 marbles to begin with. So Tom has 18 marbles. He lost 3, so 18 - 3 = 15, and bought 6, so 15 + 6 = 21. So Tom now has 21 marbles.

Here is a problem that can also be solved by working backward.

Alex bought twice as many pears as apples. He bought 4 more pears than oranges. He bought 6 apples.

How many oranges did Alex buy?

Question

Mathematics

Frazier

6 October, 22:29

A student solved this problem by working backward.

Tom had some marbles. He had three times as many marbles as Ralph. Ralph had 6 marbles. Tom lost 3 marbles and bought 6 new marbles. How many marbles does Tom have now?

Student's solution - Ralph has 6 marbles, so Tom has 6 * 3 marbles to begin with. So Tom has 18 marbles. He lost 3, so 18 - 3 = 15, and bought 6, so 15 + 6 = 21. So Tom now has 21 marbles.

Here is a problem that can also be solved by working backward.

Alex bought twice as many pears as apples. He bought 4 more pears than oranges. He bought 6 apples.

How many oranges did Alex buy?

+1

Answers (1)

Know the Answer?

Jaelynn Aguilar · Answer 1

He bought 8 oranges. If he had 2x as many pears as he did apples, then that means he has 12 pears and if he bought four more pears then he did oranges (12-4) that means he has 8 oranges.