The combined savings of Abel and Bahira are 15435 dinars.
The savings of Bahira are more than the savings of Abel.
The savings of Bahira are times the savings of Chanda.
Work out the savings of Chanda.

Ask by Lowe Valdez. in Qatar

Jan 18,2025

Question

The combined savings of Abel and Bahira are 15435 dinars.
The savings of Bahira are more than the savings of Abel.
The savings of Bahira are times the savings of Chanda.
Work out the savings of Chanda.

Ask by Lowe Valdez. in Qatar

Jan 18,2025

UpStudy AI · Accepted Answer

Let's denote the savings of Abel as $$ A $$, the savings of Bahira as $$ B $$, and the savings of Chanda as $$ C $$.

Given:
1. The combined savings of Abel and Bahira are 15435 dinars: $$ A + B = 15435 $$
2. The savings of Bahira are $$ 45\% $$ more than the savings of Abel: $$ B = 1.45A $$
3. The savings of Bahira are $$ \frac{3}{2} $$ times the savings of Chanda: $$ B = \frac{3}{2}C $$

We can solve these equations to find the savings of Chanda.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}A+B=15435\B=1.45A\B=1.5C\end{array}ight.$$
- step1: Substitute the value of $$B:$$
  $$\left\{ \begin{array}{l}A+1.45A=15435\1.45A=1.5C\end{array}ight.$$
- step2: Simplify:
  $$\left\{ \begin{array}{l}2.45A=15435\1.45A=1.5C\end{array}ight.$$
- step3: Solve the equation:
  $$\left\{ \begin{array}{l}A=6300\1.45A=1.5C\end{array}ight.$$
- step4: Substitute the value of $$A:$$
  $$1.45	imes 6300=1.5C$$
- step5: Simplify:
  $$9135=1.5C$$
- step6: Swap the sides:
  $$1.5C=9135$$
- step7: Divide both sides:
  $$\frac{1.5C}{1.5}=\frac{9135}{1.5}$$
- step8: Divide the numbers:
  $$C=6090$$
- step9: Substitute the value of $$A:$$
  $$B=1.45	imes 6300$$
- step10: Simplify:
  $$B=9135$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}A=6300\B=9135\C=6090\end{array}ight.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}A=6300\B=9135\C=6090\end{array}ight.$$
- step13: Rewrite:
  $$\left(A,B,Cight) = \left(6300,9135,6090ight)$$
The savings of Chanda is 6090 dinars.
Chanda has 6090 dinars in savings.

The combined savings of Abel and Bahira are 15435 dinars.
The savings of Bahira are more than the savings of Abel.
The savings of Bahira are times the savings of Chanda.
Work out the savings of Chanda.

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The combined savings of Abel and Bahira are 15435 dinars. The savings of Bahira are more than the savings of Abel. The savings of Bahira are times the savings of Chanda. Work out the savings of Chanda.

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The combined savings of Abel and Bahira are 15435 dinars.
The savings of Bahira are more than the savings of Abel.
The savings of Bahira are times the savings of Chanda.
Work out the savings of Chanda.