Question

Students in Mrs. McCormick's third grade class are working on times tables, and they demonstrate mastery by passing tests. Mandy has passed 2 tests so far. Her classmate, Stefan, has passed 8 tests of them. From now on, Mandy plans to take and pass 3 tests per week. Meanwhile, Stefan plans to do 1 per week. At some point, Mandy will catch up to Stefan. How many tests will each child have passed? How long will it take?

Answer 1

Mandy will take 6 weeks to catch up to Stefan, and each child will have passed 8 tests.

Step-by-step explanation:

Mandy has passed 2 tests so far and Stefan has passed 8 tests.

Mandy plans to take and pass 3 tests per week, while Stefan plans to do 1 per week.

We need to find out how many tests each child will have passed when Mandy catches up to Stefan.

Since Mandy plans to do 3 tests per week and Stefan plans to do 1 test per week, Mandy will be catching up by 2 tests per week (3 tests - 1 test).

To find out how many weeks it will take for Mandy to catch up to Stefan, we divide the difference in tests passed by the difference in tests per week.

(8 tests - 2 tests) / 2 tests per week

= 6 weeks.

Therefore, when Mandy catches up to Stefan, each child will have passed 8 tests.