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06 Apr 2026, 01:37
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
32% (03:41) correct
68%
(03:13)
wrong
based on 19
sessions
History
Date
Time
Result
Not Attempted Yet
Sfougary sells its bath sponges in identical packs. To boost sales, Sfougary plans to reduce the price per sponge by \(\tfrac{1}{5}\), either by including one additional sponge in each pack or by reducing the price of each pack by $9.60.
If Sfougary instead both reduced the price of each pack by $9.60 and included one additional sponge in each pack, what would be the resulting price per sponge?
(A) 6.40
(B) 7.68
(C) 7.80
(D) 9.00
(E) 9.60
If Sfougary instead both reduced the price of each pack by $9.60 and included one additional sponge in each pack, what would be the resulting price per sponge?
(A) 6.40
(B) 7.68
(C) 7.80
(D) 9.00
(E) 9.60
06 Apr 2026, 05:47
Kudos
Bookmarks
Sfougary sells its bath sponges in identical packs. To boost sales, Sfougary plans to reduce the price per sponge by \(\tfrac{1}{5}\), either by including one additional sponge in each pack or by reducing the price of each pack by $9.60.
If Sfougary instead both reduced the price of each pack by $9.60 and included one additional sponge in each pack, what would be the resulting price per sponge?
Find reduced price:
9.60 = 1/5 original price
New price = 4/5 original price = 4 × 9.60 = 38.40
Find original number of sponges:
Let n be the original number of sponges.
P/n - P/(n + 1) = 1/5 × P/n
To solve quickly, try n = 4 because 4 seems to make sense.
P/4 - P/5 = P/20
1/4 - 1/5 = 1/20 ✅
Perfect.
Find new number of sponges:
4 + 1 = 5
Calculate new price per sponge:
38.40/5 = 7.68
(A) 6.40
(B) 7.68
(C) 7.80
(D) 9.00
(E) 9.60
Correct answer: B
If Sfougary instead both reduced the price of each pack by $9.60 and included one additional sponge in each pack, what would be the resulting price per sponge?
Find reduced price:
9.60 = 1/5 original price
New price = 4/5 original price = 4 × 9.60 = 38.40
Find original number of sponges:
Let n be the original number of sponges.
P/n - P/(n + 1) = 1/5 × P/n
To solve quickly, try n = 4 because 4 seems to make sense.
P/4 - P/5 = P/20
1/4 - 1/5 = 1/20 ✅
Perfect.
Find new number of sponges:
4 + 1 = 5
Calculate new price per sponge:
38.40/5 = 7.68
(A) 6.40
(B) 7.68
(C) 7.80
(D) 9.00
(E) 9.60
Correct answer: B
