Instructions

DIRECTIONS for the following questions: These questions are based on the situation given below: A young girl Roopa leaves home with x flowers, goes to the bank of a nearby river. On the bank of the river, there are four places of worship, standing in a row. She dips all the x flowers into the river. The number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, offers y flowers to the deity. Now she is left with no flowers in hand.

Question 23

# If Roopa leaves home with 30 flowers, the number of flowers she offers to each deity is:

Solution

Number of flowers after the first dipping = 60

Number of flowers after the second dipping = 2(60-y) = 120-2y

Number of flowers after the third dipping = 2(120-2y-y) = 240-6y

Number of flowers after the fourth dipping = 2(240-6y-y) = 480-14y

y = 480 - 14y

15y = 480

y = 32