Question

The seven students in a sewing

class equally share the cost of
fabric and other supplies. Last
month, each student paid ($167.94
+ $21.41) / 7. This month, each
student paid ($77.23 + $ 6.49) / 7.
Without doing any calculations, in
which month did each student pay
more?

Answer 1

Last

Explanation:

Values being added are greater in last month as compared to this month

Answer 2

Last month

Explanation:

Just look at the numbers.

The first number is (167.94 + 21.41) / 7 and the second number is (77.23 + 6.49) / 7. We see that they both have the denominator of 7, so we can just focus on comparing the numerators.

Look at 167.94 + 21.41. Clearly, 167.94 is bigger than 77.23 from the second number. We also see that 21.41 is clearly bigger than 6.49. If both numbers of the first number are bigger than both numbers from the second number, we know that the sum of the first two numbers will be bigger than the second sum.

Thus, the bigger the numerator, the bigger the amount paid, even including the dividing 7 at the end.

Thus, last month, the students had to pay more.

Hope this helps!