Risa accidentally spilled ink onto her results slip. Her results were as follows:
- What could be the smallest possible difference between her Science and Math results?
- What could be the largest possible difference between her Science and Math results?
(a)
Total scores
= 4 x 70
= 280
Sum of Science and Math scores
= 280 - 67 - 44
= 169
To have the smallest possible difference, the Science score must be as high as possible.
Math score if the Science score is 79
= 169 - 79
= 90
Smallest possible difference
= 90 - 79
= 11
(b)
To have the largest possible difference, the Science score must be as low as possible.
Math score if the Science score is 70
= 169 - 70
= 99
Smallest possible difference
= 99 - 70
= 29
Answer(s): (a) 11; (b) 29