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Sagot :
Answer:
P.7500.00
Step-by-step explanation:
We are told that:
The ratio of Val's savings to Dan is 2:3 at first.
Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.
Let's say the total amount of savings they had at first was x.
Thus;
Val had: 2x/5
Dan had: 3x/5
Now, Dan spent P3000.00.
So amount Dan has left = (3x/5) - 3000
We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings
Thus; 2x/5 = (4/3)((3x/5) - 3000)
2x/5 = 12x/15 - 4000
Multiply through by 15 to get;
6x = 12x - (3000 × 15)
6x = 12x - 45000
Rearranging, we have;
12x - 6x = 45000
6x = 45000
x = 45000/6
x = P.7500
The total amount of saving the two had at first is P7500 and this can be determined by using the arithmetic operations and given data.
Given :
- The ratio of Val's savings to Dan is 2:3 at first.
- After Dan spent P3000.00, Val's saving became 4/3 more of that Dan's remaining savings.
Given that the ratio of Val's savings to Dan is 2:3 at first. Now, assume that the total amount of savings they had at first was x. So:
Val's had - 2x/5
Dan's had - 3x/5
Now, it is also given that Dan's spent P3000. So, the amount left is:
[tex]\rm =\dfrac{2x}{5}-3000[/tex]
It is given that Val's saving became 4/3 more of that Dan's remaining savings. That is:
[tex]\dfrac{2x}{5} = \dfrac{4}{3} \times\left( \dfrac{3x}{5}-3000 \right)[/tex]
[tex]\dfrac{6x}{20} = \dfrac{3x}{5}-6000[/tex]
[tex]x = \dfrac{45000}{6}[/tex]
x = P.7500
The total amount of saving the two had at first is P7500.
For more information, refer to the link given below:
https://brainly.com/question/13101306
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