Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.
A
\(\frac{m}{2}-3\le 10\)
B
\(\frac{m}{2}-3\ge 10\)
C
\(\frac{m-3}{2}\ge10\)
D
\(\frac{m-3}{2}\le10\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Total number of mangoes = m
Amina ate 3 mangoes \(\implies\) Remainder = m - 3
Shared equally with Uche \(\implies \frac{m - 3}{2}\)
\(\frac{m - 3}{2} \geq 10\)
Source: Myschool Past Questions Archive (Record #26411)