Answer:
The largest number of tests that can be made is 36
Step-by-step explanation:
Let us list the information
- Algebra consists of 52 problems
- Geometry consists of 70 problems
- Combinatorics consists of 88 problems
- 2 more problems from each category were added to the set
That means each category will increase by 2
∴ Algebra = 52 + 2 = 54
∴ Geometry = 70 + 2 = 72
∴ Combinatorics = 88 + 2 = 90
We need to find the largest number of test that can be made containing an equal amount of problem
∵ 54 = 6 × 9
∵ 72 = 6 × 12
∵ 90 = 6 × 15
6 is the number of problem in each test because we need an equal amount of problems in each category and the other numbers are the number of tests in each category
∴ The largest number of Algebra tests is 9
∴ The largest number of Geometry tests is 12
∴ The largest number of Combinatorics test is 15
Add them to find the largest number of tests that can be made
∵ 9 + 12 + 15 = 36
∴ The largest number of tests that can be made is 36
