Let's solve each problem step by step.
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Problem 1:
> There are 2,915 regular members. How many VIP members are there?
We know:
- Total members = 3,924
- Regular members = 2,915
So, VIP members = Total members – Regular members
= 3,924 – 2,915
=
1,009
✔ Answer: 1,009 VIP members
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Problem 2:
> How much in membership fees does the fitness center receive from the regular members each month?
Each regular member pays $25 per month.
Number of regular members = 2,915
Total monthly fees from regular members = 2,915 × $25
Let’s calculate:
2,915 × 25 = 2,915 × (20 + 5)
= (2,915 × 20) + (2,915 × 5)
= 58,300 + 14,575
=
$72,875
✔ Answer: $72,875 per month
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Problem 3:
> How much more does a VIP member pay than a regular member over a year for the fitness center membership?
VIP member pays $480 per year.
Regular member pays $25 per month → so per year: 25 × 12 = $300
Difference = VIP annual fee – Regular annual fee
= $480 – $300
=
$180
✔ Answer: $180 more per year
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Problem 4:
> For every 30 members, the fitness center must hire 1 staff member for the gym. How many staff members does the fitness center need to hire for the gym?
Total members = 3,924
Staff needed = Total members ÷ 30
= 3,924 ÷ 30
Let’s divide:
3,924 ÷ 30 = 130.8
Since you can’t hire a fraction of a staff member, and the rule says “for every 30 members”, we
round up to ensure coverage for all members.
So, 130 full groups of 30 = 130 × 30 = 3,900 members
Remaining members = 3,924 – 3,900 = 24 → still need 1 more staff member.
Thus, total staff = 130 + 1 =
131
✔ Answer: 131 staff members
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Problem 5:
> The lifeguard on duty gets 10 minutes of breaks for every 2 hours he works. How much break time does the lifeguard get during a 6-hour shift?
Breaks: 10 minutes per 2 hours
In 6 hours, number of 2-hour blocks = 6 ÷ 2 = 3
Break time = 3 × 10 minutes =
30 minutes
✔ Answer: 30 minutes
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Problem 6:
> Write an equation using “x” and then solve the equation.
During a promotion for the VIP membership program, the new VIP members received a discount of $x. 34 new VIP members signed up, and the gym received $13,260 of membership fees from them.
Original VIP fee = $480 per year
Discounted fee per member = 480 – x
Total revenue from 34 members = 34 × (480 – x) = 13,260
Equation:
34(480 – x) = 13,260
Now solve:
Step 1: Divide both sides by 34
480 – x = 13,260 ÷ 34
Calculate 13,260 ÷ 34:
34 × 390 = 34 × 400 – 34 × 10 = 13,600 – 340 = 13,260 → So, 13,260 ÷ 34 = 390
So:
480 – x = 390
Step 2: Solve for x
x = 480 – 390
x =
90
✔ Answer: Equation is 34(480 – x) = 13,260; Solution: x = 90
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✔ Final Answers Summary:
1.
1,009 VIP members
2.
$72,875 per month
3.
$180 more per year
4.
131 staff members
5.
30 minutes
6.
Equation: 34(480 – x) = 13,260; x = 90
Let me know if you’d like these explained differently or need visuals!
Parent Tip: Review the logic above to help your child master the concept of mixed word problem worksheet.
