question_answer

The students of Anju's class sold posters to raise money. Anju wanted to create a ratio for finding the amount of money her class would make for different numbers of posters sold. She knew they could raise Rs. 250 for every 60 posters sold.

(a) How much money would Anju's class make for selling 102 posters?

(b) Could Anju's class raise exactly Rs. 2,000? If so, how many posters would they need to sell? If not, why?

Answer:

Here, Anju's class raised money for every 60 posters.

Let x be the money.

Money Raised 250 x Number of posters sold 60 102

Clearly, number of poster will increase, money raised will also increased. This is case of direct proportion

\[\frac{250}{60}=\frac{x}{102}\]

\[x=\frac{102\times 250}{60}=425\]

Money raised by 102 poster is Rs. 425.

(b) No, class could not raise exactly Rs. 2000.

Let the number of poster Anju's class need to sell be n.

Money Raised (In Rs.) 250 2000 No of posters sold 60 n

\[\therefore \]      \[\frac{250}{60}=\frac{2000}{n}\]

\[n=\frac{2000\times 60}{250}=480\]

So, required number of posters are 480.