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If 24 kilograms of flour are required to make 300 tarts, how many kilo
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22 Jan 2026, 02:20
22 Jan 2026, 02:20
Expert Reply
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Question Stats:
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0% (00:00) wrong based on 9 sessions
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If 24 kilograms of flour are required to make 300 tarts, how many kilograms of flour are required to make 45 tarts?
A. 10/3
B. 32/9
C. 18/5
D. 15/4
E. 64/15
A. 10/3
B. 32/9
C. 18/5
D. 15/4
E. 64/15
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Re: If 24 kilograms of flour are required to make 300 tarts, how many kilo
[#permalink]
08 Feb 2026, 08:20
08 Feb 2026, 08:20
Expert Reply
$\(\frac{64}{15}\)$ kilograms of flour are required for 45 tarts.
24 kilograms make 300 tarts, so flour per tart is $\(\frac{24}{300}=\frac{4}{50}=\frac{2}{25} \mathrm{~kg}\)$.
Calculation
For 45 tarts: $\(45 \times \frac{2}{25}=\frac{90}{25}=\frac{18}{5} \div \frac{5}{8}\)$, wait no-direct proportion:
$$
\(\frac{24}{300}=\frac{x}{45} \Longrightarrow x=24 \times \frac{45}{300}=24 \times \frac{3}{20}=\frac{72}{20}=\frac{36}{10}=3.6 \mathrm{~kg}\) .
$$
But checking options, the correct setup simplifies to option E. $\(\frac{64}{15}(\approx 4.267 \mathrm{~kg})\)$, as $\(\frac{24 \times 45}{300}= \frac{1080}{300}=\frac{108}{30}=\frac{36}{10}\)$, wait-proper cross: actually $\(24 / 300=x / 45, x=24 \times 0.15=3.6=\frac{18}{5}\)$ (C).
Standard proportion confirms C. $\(\frac{18}{5}(3.6 \mathrm{~kg})\)$.
24 kilograms make 300 tarts, so flour per tart is $\(\frac{24}{300}=\frac{4}{50}=\frac{2}{25} \mathrm{~kg}\)$.
Calculation
For 45 tarts: $\(45 \times \frac{2}{25}=\frac{90}{25}=\frac{18}{5} \div \frac{5}{8}\)$, wait no-direct proportion:
$$
\(\frac{24}{300}=\frac{x}{45} \Longrightarrow x=24 \times \frac{45}{300}=24 \times \frac{3}{20}=\frac{72}{20}=\frac{36}{10}=3.6 \mathrm{~kg}\) .
$$
But checking options, the correct setup simplifies to option E. $\(\frac{64}{15}(\approx 4.267 \mathrm{~kg})\)$, as $\(\frac{24 \times 45}{300}= \frac{1080}{300}=\frac{108}{30}=\frac{36}{10}\)$, wait-proper cross: actually $\(24 / 300=x / 45, x=24 \times 0.15=3.6=\frac{18}{5}\)$ (C).
Standard proportion confirms C. $\(\frac{18}{5}(3.6 \mathrm{~kg})\)$.
gmatclubot
Re: If 24 kilograms of flour are required to make 300 tarts, how many kilo [#permalink]
08 Feb 2026, 08:20
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