Yengling76idn
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Mingfa says, "My sister and I have $130 altogether. If my mother gives me another
$10, I'll have 3 times as much money as my sister."
How much money does Mingfa actually have?​

Sagot :

Given:

Total amount of Mingfa and her sister = $130

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

To find:

How much money does Mingfa actually have?​

Solution:

Let, Mingfa have $x and her sister has $y initially. Then,

[tex]x+y=130[/tex]                ...(i)

If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.

[tex]x+10=3y[/tex]              ...(ii)

Substitute the value of x from (ii) in (i).

[tex](3y-10)+y=130[/tex]

[tex]4y=130+10[/tex]

[tex]4y=140[/tex]

Divide both sides by 4.

[tex]y=35[/tex]

Putting [tex]y=35[/tex] in (i), we get

[tex]x+35=130[/tex]

[tex]x=130-35[/tex]

[tex]x=95[/tex]

Therefore, Mingfa have $95.

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