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Perbandingan uang Abi dan uang Bima adalah $2 : 3$ , sedangkan uang Bima $= \frac{4}{5}$ uang Citra. Jika selisih uang Abi dan Citra adalah Rp $350.000$ , jumlah yang Abi, Bima, dan Citra adalah ....

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Find the sum of a finite geometric series

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Q. Perbandingan uang Abi dan uang Bima adalah

2 : 3

, sedangkan uang Bima

= \frac{4}{5}

uang Citra. Jika selisih uang Abi dan Citra adalah Rp

350.000

, jumlah yang Abi, Bima, dan Citra adalah ....

Denote Money Ratios: Let's denote Abi's money as $A$ , Bima's as $B$ , and Citra's as $C$ . The ratio of Abi's to Bima's money is $2:3$ , so we can write $\frac{A}{B} = \frac{2}{3}$ .
Expressing Relationships: Bima's money is $\frac{4}{5}$ of Citra's, so $B = \frac{4}{5} \times C$ .
Substitute and Simplify: We know the difference between Abi's and Citra's money is Rp $350,000$ , so $C - A = 350,000$ .
Solving for C: From the ratio $\frac{A}{B} = \frac{2}{3}$ , we can express $A$ as $A = \frac{2}{3} \times B$ .
Solving for C: From the ratio $A/B = 2/3$ , we can express $A$ as $A = \frac{2}{3} \times B$ .Substitute $B$ from step $3$ into the expression from step $5$ , we get $A = \frac{2}{3} \times (\frac{4}{5} \times C) = \frac{8}{15} \times C$ .
Solving for C: From the ratio $\frac{A}{B} = \frac{2}{3}$ , we can express $A$ as $A = \frac{2}{3} \times B$ .Substitute $B$ from step $3$ into the expression from step $5$ , we get $A = \frac{2}{3} \times (\frac{4}{5} \times C) = \frac{8}{15} \times C$ .Now we have two expressions involving $A$ and $C$ : $A = \frac{8}{15} \times C$ and $C - A = 350,000$ . Let's substitute $A$ in the second equation with the expression from the first equation: $A$ $0$ .
Solving for C: From the ratio $\frac{A}{B} = \frac{2}{3}$ , we can express $A$ as $A = \frac{2}{3} \times B$ .Substitute $B$ from step $3$ into the expression from step $5$ , we get $A = \frac{2}{3} \times (\frac{4}{5} \times C) = \frac{8}{15} \times C$ .Now we have two expressions involving $A$ and $C$ : $A = \frac{8}{15} \times C$ and $C - A = 350,000$ . Let's substitute $A$ in the second equation with the expression from the first equation: $A$ $0$ .Simplify the equation: $A$ $1$ , which gives us $A$ $2$ .
Solving for C: From the ratio $\frac{A}{B} = \frac{2}{3}$ , we can express $A$ as $A = \frac{2}{3} \times B$ .Substitute $B$ from step $3$ into the expression from step $5$ , we get $A = \frac{2}{3} \times (\frac{4}{5} \times C) = \frac{8}{15} \times C$ .Now we have two expressions involving $A$ and $C$ : $A = \frac{8}{15} \times C$ and $C - A = 350,000$ . Let's substitute $A$ in the second equation with the expression from the first equation: $A$ $0$ .Simplify the equation: $A$ $1$ , which gives us $A$ $2$ .Solve for $C$ : $A$ $4$ , but this is wrong because I made a calculation error. The correct calculation should be $A$ $5$ .

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