A student gets four points for each problem answered correctly he loses two points for each incorrect answer and he gets zero points for each question left blank on a 25-question test he received a score of 70 what is the fewest number of questions that he could have answered correctly and what is the largest number of questions that he could have left blank
The fewest answered correctly to get 70 on the 25 question test,
would be the lowest multiple of 4, above 70, divided by 4.
72 ÷ 4
= 18 is the fewest number that he could have answered correctly
The largest number that he could have left blank goes along with what is above.
If he answered 18 correctly and scored a 70, that would mean that he had one incorrect answer, which he loses two points.
Therefore, he had 18 correct, 1 incorrect, with 6 left blank (counting for zero)