SOLUTION: Hi Irene bought 10 pens with 2/5 of her money. If she were to buy another 24 pens she would need $18 more. How much money did she have left after buying the 10 pens Thanks

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Question 1203369: Hi
Irene bought 10 pens with 2/5 of her money. If she were to buy another 24 pens she would need $18 more. How much money did she have left after buying the 10 pens
Thanks

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39628) About Me  (Show Source):
Answer by ikleyn(52867) About Me  (Show Source):
You can put this solution on YOUR website!
.
Irene bought 10 pens with 2/5 of her money. If she bought another 24 pens then she would need $18 more.
What is the amount of money she had left after buying the 10 pens.
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        Such problems on "shortage the money" are traditionally considered
        as entertainment Math problems.
        Therefore, I will give you MENTAL solution below. 


Since Irene bought 10 pens with 2/5 of her money, it means that
she could buy 15 more pens for her remaining 3/5 of money.

But the problem said that if she bought additional 24 pens (additional to that 10 pens), 
she would be $18 short.
It means that 24-15 = 9 extra pens cost $18. Hence, each pen costs 18/9 = 2 dollars.


Great (!) Half of the problem is solved. The rest is just easy.


One pen costs 2 dollars; hence, 15 pens cost 30 dollars, 
and it is the amount of money she had left after buying the 10 pens.


ANSWER.  After buying 10 pens, Irene had left 30 dollars.

Solved.