+36 Suresh used 2/5 of his money to buy 4 pens and 9 rulers. The cost of 2 pens was the same as that of 3 rulers. What was the greatest number of rulers that Suresh could buy with the money he had left?
1) 15
2) 21
3) 22
4) 30
+929 1. Understand the Relationship Between Pens and Rulers:
"The cost of 2 pens was the same as that of 3 rulers"
This means the cost of 1 pen is equal to the cost of 2 rulers.
2. Let's use variables:
Let 'x' be the cost of 1 ruler.
Then, the cost of 1 pen is 2x.
3. Calculate the total cost of pens and rulers:
Cost of 3 pens: 3 * 2x = 6x
Cost of 8 rulers: 8x
Total cost of pens and rulers: 6x + 8x = 14x
4. Determine the fraction of money spent:
Suresh spent 2/5 of his money on the pens and rulers.
Therefore, 14x represents 2/5 of his total money.
5. Find the total amount of money Suresh had:
Let 'y' be the total amount of money Suresh had initially.
(2/5)y = 14x
y = (14x * 5) / 2
y = 35x
6. Find the money left:
Money left = Total money - Money spent
Money left = 35x - 14x
Money left = 21x
7. Find the maximum number of rulers Suresh can buy with the remaining money:
Number of rulers = Money left / Cost per ruler
Number of rulers = 21x / x
Number of rulers = 21
Therefore, the greatest number of rulers Suresh could buy with the money he had left is 21.
