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?
" />
Number of mint before Eswari has taken,=(x−(x2))+2=17;Or,x=30Number of mint before Fatima has taken,=[x−(x4)]+3=30;Or,x=36;Number of mint before Sita has taken,=[x−(x3)]+4=36;Or,x=48Hence,therewere48mintsoriginally.$$\begin{array}{rl}& \text{Number of mint before Eswari has taken},\\ & =\left(x-\left(\frac{x}{2}\right)\right)+2=17;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=30\\ & \text{Number of mint before Fatima has taken},\\ & =\left[x-\left(\frac{x}{4}\right)\right]+3=30;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=36;\\ & \text{Number of mint before Sita has taken},\\ & =\left[x-\left(\frac{x}{3}\right)\right]+4=36;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=48\\ & \text{Hence,}\phantom{\rule{thinmathspace}{0ex}}\text{there}\phantom{\rule{thinmathspace}{0ex}}\text{were}\phantom{\rule{thinmathspace}{0ex}}\text{48}\phantom{\rule{thinmathspace}{0ex}}\text{mints}\phantom{\rule{thinmathspace}{0ex}}\text{originally}\text{.}\end{array}$$
of the mints, but returned four because she had a monetary pang of guilt. Fatima then took
14$$\frac{1}{4}$$
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
13$$\frac{1}{3}$$
of the mints, but returned four because she had a monetary pang of guilt. Fatima then took
14$$\frac{1}{4}$$
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:
Number of mint before Eswari has taken,=(x−(x2))+2=17;Or,x=30Number of mint before Fatima has taken,=[x−(x4)]+3=30;Or,x=36;Number of mint before Sita has taken,=[x−(x3)]+4=36;Or,x=48Hence,therewere48mintsoriginally.$$\begin{array}{rl}& \text{Number of mint before Eswari has taken},\\ & =\left(x-\left(\frac{x}{2}\right)\right)+2=17;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=30\\ & \text{Number of mint before Fatima has taken},\\ & =\left[x-\left(\frac{x}{4}\right)\right]+3=30;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=36;\\ & \text{Number of mint before Sita has taken},\\ & =\left[x-\left(\frac{x}{3}\right)\right]+4=36;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=48\\ & \text{Hence,}\phantom{\rule{thinmathspace}{0ex}}\text{there}\phantom{\rule{thinmathspace}{0ex}}\text{were}\phantom{\rule{thinmathspace}{0ex}}\text{48}\phantom{\rule{thinmathspace}{0ex}}\text{mints}\phantom{\rule{thinmathspace}{0ex}}\text{originally}\text{.}\end{array}$$
Number of mint before Eswari has taken,=(x−(x2))+2=17;Or,x=30Number of mint before Fatima has taken,=[x−(x4)]+3=30;Or,x=36;Number of mint before Sita has taken,=[x−(x3)]+4=36;Or,x=48Hence,therewere48mintsoriginally.$$\begin{array}{rl}& \text{Number of mint before Eswari has taken},\\ & =\left(x-\left(\frac{x}{2}\right)\right)+2=17;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=30\\ & \text{Number of mint before Fatima has taken},\\ & =\left[x-\left(\frac{x}{4}\right)\right]+3=30;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=36;\\ & \text{Number of mint before Sita has taken},\\ & =\left[x-\left(\frac{x}{3}\right)\right]+4=36;\\ & Or,\phantom{\rule{thinmathspace}{0ex}}x=48\\ & \text{Hence,}\phantom{\rule{thinmathspace}{0ex}}\text{there}\phantom{\rule{thinmathspace}{0ex}}\text{were}\phantom{\rule{thinmathspace}{0ex}}\text{48}\phantom{\rule{thinmathspace}{0ex}}\text{mints}\phantom{\rule{thinmathspace}{0ex}}\text{originally}\text{.}\end{array}$$
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