8. Of the 180 students who took part in the Race for Hunger, about 5/8 were sophomores. Of the sophomores, 40% were girls. How many sophomore girls took part in the race?
A.35 girls
B.125 girls
C.45 girls
D.72 girls
please explain and show work
(5/8) * 180 = 900/8 = 112.5 sophomores
0.4 * 112.5 = ?
It equals 45.
Right.
To solve this problem, we need to follow a step-by-step approach. Let's break it down:
Step 1: Calculate the number of sophomores who participated in the race.
Since 5/8 of the total students participated, we need to find 5/8 of 180.
5/8 * 180 = 900/8 = 112.5
So, approximately 112 students were sophomores.
Step 2: Calculate the number of sophomore girls who participated.
From the given information, we know that 40% of sophomores were girls.
40% of 112 = (40/100) * 112 = 0.4 * 112 = 44.8
Since the number of students cannot be a fraction, we round this number to the nearest whole number.
Approximately 45 sophomore girls participated.
Therefore, the answer is C. 45 girls.