1313\frac{1}{3} of the mints, but returned four because she had a monetary pang of guilt. Fatima then took 14" role="presentation">1414\frac{1}{4} of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? " /> 1313\frac{1}{3} of the mints, but returned four because she had a monetary pang of guilt. Fatima then took 14" role="presentation">1414\frac{1}{4} of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? " /> 1313\frac{1}{3} of the mints, but returned four because she had a monetary pang of guilt. Fatima then took 14" role="presentation">1414\frac{1}{4} of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? " />

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Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took $\frac{1}{3}$ $\frac{1}{3}$ of the mints, but returned four because she had a monetary pang of guilt. Fatima then took $\frac{1}{4}$ $\frac{1}{4}$ of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl?

138
231
341
4None of these

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Number of mint before Eswari has taken, \\ = (x - (\frac{x}{2})) + 2 = 17; \\ O r, x = 30 \\ Number of mint before Fatima has taken, \\ = [x - (\frac{x}{4})] + 3 = 30; \\ O r, x = 36; \\ Number of mint before Sita has taken, \\ = [x - (\frac{x}{3})] + 4 = 36; \\ O r, x = 48 \\ Hence, there were 48 mints originally . \end{aligned}

$\eqalign{ & {\text{Number of mint before Eswari has taken}}, \cr & = \left( {x - \left( {\frac{x}{2}} \right)} \right) + 2 = 17; \cr & Or,\,x = 30 \cr & {\text{Number of mint before Fatima has taken}}, \cr & = \left[ {x - \left( {\frac{x}{4}} \right)} \right] + 3 = 30; \cr & Or,\,x = 36; \cr & {\text{Number of mint before Sita has taken}}, \cr & = \left[ {x - \left( {\frac{x}{3}} \right)} \right] + 4 = 36; \cr & Or,\,x = 48 \cr & {\text{Hence,}}\,{\text{there}}\,{\text{were}}\,{\text{48}}\,{\text{mints}}\,{\text{originally}}{\text{.}} \cr}$

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of the mints, but returned four because she had a monetary pang of guilt. Fatima then took

\frac{1}{4}

$\frac{1}{4}$ of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? ", "text": "Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took

\frac{1}{3}

$\frac{1}{3}$ of the mints, but returned four because she had a monetary pang of guilt. Fatima then took

\frac{1}{4}

$\frac{1}{4}$ of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the bowl. The bowl had only 17 mints left when the raid was over. How many mints were originally in the bowl? ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Number of mint before Eswari has taken, \\ = (x - (\frac{x}{2})) + 2 = 17; \\ O r, x = 30 \\ Number of mint before Fatima has taken, \\ = [x - (\frac{x}{4})] + 3 = 30; \\ O r, x = 36; \\ Number of mint before Sita has taken, \\ = [x - (\frac{x}{3})] + 4 = 36; \\ O r, x = 48 \\ Hence, there were 48 mints originally . \end{aligned}

$\eqalign{ & {\text{Number of mint before Eswari has taken}}, \cr & = \left( {x - \left( {\frac{x}{2}} \right)} \right) + 2 = 17; \cr & Or,\,x = 30 \cr & {\text{Number of mint before Fatima has taken}}, \cr & = \left[ {x - \left( {\frac{x}{4}} \right)} \right] + 3 = 30; \cr & Or,\,x = 36; \cr & {\text{Number of mint before Sita has taken}}, \cr & = \left[ {x - \left( {\frac{x}{3}} \right)} \right] + 4 = 36; \cr & Or,\,x = 48 \cr & {\text{Hence,}}\,{\text{there}}\,{\text{were}}\,{\text{48}}\,{\text{mints}}\,{\text{originally}}{\text{.}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Number of mint before Eswari has taken, \\ = (x - (\frac{x}{2})) + 2 = 17; \\ O r, x = 30 \\ Number of mint before Fatima has taken, \\ = [x - (\frac{x}{4})] + 3 = 30; \\ O r, x = 36; \\ Number of mint before Sita has taken, \\ = [x - (\frac{x}{3})] + 4 = 36; \\ O r, x = 48 \\ Hence, there were 48 mints originally . \end{aligned}

$\eqalign{ & {\text{Number of mint before Eswari has taken}}, \cr & = \left( {x - \left( {\frac{x}{2}} \right)} \right) + 2 = 17; \cr & Or,\,x = 30 \cr & {\text{Number of mint before Fatima has taken}}, \cr & = \left[ {x - \left( {\frac{x}{4}} \right)} \right] + 3 = 30; \cr & Or,\,x = 36; \cr & {\text{Number of mint before Sita has taken}}, \cr & = \left[ {x - \left( {\frac{x}{3}} \right)} \right] + 4 = 36; \cr & Or,\,x = 48 \cr & {\text{Hence,}}\,{\text{there}}\,{\text{were}}\,{\text{48}}\,{\text{mints}}\,{\text{originally}}{\text{.}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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