Term 4 – Problem Solving Practice 2

(Use Model, branch or unit methods to work out the solution)

1. Tom had ½ the number of marbles Ben had at first. After Ben gave 12 of his marbles to Tom, Tom had 2/3 the number of marbles Ben had. How many marbles did Tom have at first?

2. Eric has 2/3 as many erasers as Felicia. If Eric gives 8 erasers to Felicia, he will have 2/5 as many erasers as Felicia. How many erasers does Eric have at first?

3. Shawn and Roger had an equal number of stickers. After Roger gave 36stickers to Shawn, Shawn had 5 times as many stickers as Roger. How many stickers did Roger have at first?

4. Min had 3/7 of the number of beads that Jake had at first. When Min received 22 beads from Jake, both of them would have an equal number of beads.
a. How many more beads did Jake have than Min at first?
b. How many beads did they have altogether?

5. Three boys Ali, John and David have some marbles. After Ali gave 2/5 of his marbles to David and John gave ¼ of his marbles to David, the three boys have the same number of marbles.
a. Given that Ali has 100 marbles at first, how many marbles does John have at first?
b. During a game, David lost half the number of marbles to Mary. Ali and John each decided to give the same number of marbles to David so that the three of them have an equal number of marbles again. What fraction of the marbles did Ali and John each give to David?