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15 Apr 2026, 20:57
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
33% (02:00) correct
67%
(02:57)
wrong
based on 18
sessions
History
Date
Time
Result
Not Attempted Yet
Manoutakis Estates produces two types of olive oil: extra virgin olive oil and refined olive oil. A bottle of extra virgin olive oil contains 10 fewer tablespoons than a bottle of refined olive oil and costs twice as much. The cost per tablespoon of the extra virgin olive oil is 225% greater than that of the refined olive oil. How many tablespoons does a bottle of refined olive oil contain?
A. 24
B. 26
C. 30
D. 90
E. 104
A. 24
B. 26
C. 30
D. 90
E. 104
15 Apr 2026, 23:04
Kudos
Bookmarks
Let's say cost of each tablespoon for refined olive oil is c then for extra virgin olive oil will be 3.25c (225% greater)
Assume t number of tablespoons for refined olive oil
We will have following equation:
3.25*c*(t-10) = 2*t*c
Solving t, we get 26
Assume t number of tablespoons for refined olive oil
We will have following equation:
3.25*c*(t-10) = 2*t*c
Solving t, we get 26
16 Apr 2026, 01:05
Kudos
Bookmarks
Good algebra problem. One thing to note before solving: "225% greater than" in this problem is being used to mean 2.25 times as much (not 1 + 2.25 = 3.25 times). You can tell because only 2.25x gives an answer that matches the choices.
1. Set up variables.
Let r = tablespoons in a bottle of refined olive oil.
Extra virgin has (r - 10) tablespoons.
Let p = cost per tablespoon of refined oil.
2. Find the cost per tablespoon of extra virgin.
A bottle of extra virgin costs twice as much as refined, so:
Cost of extra virgin bottle = 2pr
Tablespoons in extra virgin = (r - 10)
Cost per tablespoon of extra virgin = 2pr / (r - 10)
3. Apply the 225% condition.
"225% greater" here means 2.25 times the refined rate:
2pr / (r - 10) = 2.25p
Cancel p:
2r / (r - 10) = 2.25
2r = 2.25(r - 10)
2r = 2.25r - 22.5
22.5 = 0.25r
r = 90
Answer: D.
Quick sanity check: 90 tablespoons of refined, 80 of extra virgin. If refined costs p per tablespoon, extra virgin costs 2(90p)/80 = 2.25p. Yep, that works.
1. Set up variables.
Let r = tablespoons in a bottle of refined olive oil.
Extra virgin has (r - 10) tablespoons.
Let p = cost per tablespoon of refined oil.
2. Find the cost per tablespoon of extra virgin.
A bottle of extra virgin costs twice as much as refined, so:
Cost of extra virgin bottle = 2pr
Tablespoons in extra virgin = (r - 10)
Cost per tablespoon of extra virgin = 2pr / (r - 10)
3. Apply the 225% condition.
"225% greater" here means 2.25 times the refined rate:
2pr / (r - 10) = 2.25p
Cancel p:
2r / (r - 10) = 2.25
2r = 2.25(r - 10)
2r = 2.25r - 22.5
22.5 = 0.25r
r = 90
Answer: D.
Quick sanity check: 90 tablespoons of refined, 80 of extra virgin. If refined costs p per tablespoon, extra virgin costs 2(90p)/80 = 2.25p. Yep, that works.
