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chubhunter [2.5K]
3 years ago
5

Three friends share 1/5 of a jar of jam. They each get an equal amount of jam. What fraction of the original amount of jam in th

e jar does each friend get?
Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
6 0

Answer:

.06

Step-by-step explanation:

viva [34]3 years ago
4 0

Answer:

1/15

Step-by-step explanation:

so theres 1/5 jam left in the far, which isn't much, and 3 friends have to split it equally between them, so the 1/5 jar of jam is split into 3,

just simply divide 1/5 by 3 and you will get 1/15 for your final answer.

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Akimi4 [234]

a = amount invested at 7%

b = amount invested at 9%

we know the amount invested was ₹36000, thus we know that whatever "a" and "b" are, a + b = 36000.  We can also say that

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of a}}{\left( \cfrac{7}{100} \right)a}\implies 0.07a~\hfill \stackrel{\textit{9\% of b}}{\left( \cfrac{7}{100} \right)b}\implies 0.09b

since we know the interest earned from the invested was ₹2920, then we say that 0.07a + 0.09b = 2920.

\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

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3 years ago
Callie has 268 beads she wants to make 9 identical bracelets for her craft sale. She wants to use as many beads as possible on e
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