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12 Feb 2026, 09:51
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
47% (03:07) correct
53%
(02:45)
wrong
based on 45
sessions
History
Date
Time
Result
Not Attempted Yet
Chicken wings at a certain restaurant cost $1.55 each. However, an order of 9 chicken wings costs only $10.90. A 20% service charge is applied to every order at this restaurant. What is the greatest number of chicken wings that can be purchased for $90, including the service charge ?
(A) 58
(B) 60
(C) 62
(D) 72
(E) 73
(A) 58
(B) 60
(C) 62
(D) 72
(E) 73
12 Feb 2026, 12:56
Kudos
Bookmarks
This is a word problem that combines pricing, bulk discounts, and percentages. The trick is realizing you need to maximize wings by using the discount option strategically.
**Step 1: Understand the pricing**
- Individual wings: $1.55 each
- 9-pack: $10.90 (this is a discount! Normally 9 × $1.55 = $13.95)
- All prices get a 20% service charge added
**Step 2: Calculate effective prices after service charge**
With a 20% service charge, we multiply by 1.2:
- Individual wing: $1.55 × 1.2 = $1.86
- 9-pack: $10.90 × 1.2 = $13.08
**Step 3: Determine cost per wing for each option**
- Individual: $1.86 per wing
- 9-pack: $13.08 ÷ 9 = $1.45 per wing (better deal!)
**Step 4: Maximize wings with $90**
Since the 9-pack is cheaper per wing, we should buy as many 9-packs as possible.
$90 ÷ $13.08 = 6.88
We can afford 6 complete 9-packs: 6 × $13.08 = $78.48
Remaining money: $90 - $78.48 = $11.52
**Step 5: Use remaining money**
Can we afford another 9-pack? No, that would cost $13.08.
Can we buy individual wings? Yes! $11.52 ÷ $1.86 = 6.19
We can buy 6 more individual wings: 6 × $1.86 = $11.16
**Step 6: Total wings**
From 9-packs: 6 × 9 = 54 wings
From individual: 6 wings
**Total: 60 wings**
**Answer: (B) 60**
**Common trap:** Many students forget to apply the service charge to *both* pricing options, or they try to buy only 9-packs and miss the opportunity to use leftover money for individual wings. Always spend your budget as fully as possible!
**Takeaway:** In optimization problems with multiple pricing tiers, exhaust the better deal first, then use any remaining budget on the next best option. Don't leave money on the table!
**Step 1: Understand the pricing**
- Individual wings: $1.55 each
- 9-pack: $10.90 (this is a discount! Normally 9 × $1.55 = $13.95)
- All prices get a 20% service charge added
**Step 2: Calculate effective prices after service charge**
With a 20% service charge, we multiply by 1.2:
- Individual wing: $1.55 × 1.2 = $1.86
- 9-pack: $10.90 × 1.2 = $13.08
**Step 3: Determine cost per wing for each option**
- Individual: $1.86 per wing
- 9-pack: $13.08 ÷ 9 = $1.45 per wing (better deal!)
**Step 4: Maximize wings with $90**
Since the 9-pack is cheaper per wing, we should buy as many 9-packs as possible.
$90 ÷ $13.08 = 6.88
We can afford 6 complete 9-packs: 6 × $13.08 = $78.48
Remaining money: $90 - $78.48 = $11.52
**Step 5: Use remaining money**
Can we afford another 9-pack? No, that would cost $13.08.
Can we buy individual wings? Yes! $11.52 ÷ $1.86 = 6.19
We can buy 6 more individual wings: 6 × $1.86 = $11.16
**Step 6: Total wings**
From 9-packs: 6 × 9 = 54 wings
From individual: 6 wings
**Total: 60 wings**
**Answer: (B) 60**
**Common trap:** Many students forget to apply the service charge to *both* pricing options, or they try to buy only 9-packs and miss the opportunity to use leftover money for individual wings. Always spend your budget as fully as possible!
**Takeaway:** In optimization problems with multiple pricing tiers, exhaust the better deal first, then use any remaining budget on the next best option. Don't leave money on the table!
13 Feb 2026, 08:38
Kudos
Bookmarks
With 20% service charge, actuall amount spent on chicken = x
120/100 x = 90
x =75
Since 9 chicken order cost $10.9, maximum number of orders that can be made
75/10.9 = 6. something. That gives 6 X 9 = 54
Cost on 6 orders 6 X 10.9 = 65.4
75 - 65.4 = 9.6
Maximum individual wing purchase
9.6/1.55 = 6.something
So max purchase will be 54 + 6 = 60
Answer B
Adewale Fasipe, GMAT instructor Lagos, Nigeria
120/100 x = 90
x =75
Since 9 chicken order cost $10.9, maximum number of orders that can be made
75/10.9 = 6. something. That gives 6 X 9 = 54
Cost on 6 orders 6 X 10.9 = 65.4
75 - 65.4 = 9.6
Maximum individual wing purchase
9.6/1.55 = 6.something
So max purchase will be 54 + 6 = 60
Answer B
Adewale Fasipe, GMAT instructor Lagos, Nigeria
