At the end of spring training a football coach discharged 1/5 of his squad and asked the remaining 32 boysw to report on Labor Day. The number of boys on the squad at the end of spring training was
a. 40
b. 80
c. 100
d. 120
e. 160
please answer and explain
0.8x = 32
1-1/5=4/5
4/5=0.8
0.8x=32
x=40
answer a
thank you, Ms. Sue
Right.
You're welcome, Thomas.
To solve this problem, let's break it down step by step:
Step 1: Calculate the number of boys left after discharging 1/5 of the squad.
If 1/5 of the squad was discharged, it means the remaining boys represent 4/5 of the original squad. So, we can calculate the remaining boys using the formula:
Remaining boys = (4/5) * Total squad
Step 2: Substitute the given values into the formula.
In this case, the remaining boys are 32, so we can plug this value into the formula and solve for the total squad:
32 = (4/5) * Total squad
Step 3: Solve the equation for the Total squad.
We can rearrange the equation to solve for the Total squad by multiplying both sides by 5/4:
Total squad = (32 * 5) / 4
Total squad = 40
Therefore, the number of boys on the squad at the end of spring training was 40.
Answer: a. 40