Question

Shreya saves money in a pattern: ₹2 on the 1st day, ₹4 on the 2nd day, ₹6 on the 3rd day, and so on. She takes out ₹1 on the 2nd, 4th, 6th days, and so forth to help needy children. Represent these integers on the number line. What will be her savings after a week? How much money has she kept for helping the needy after a week?

a) Savings after a week: ₹27; Money for the needy: ₹7
b) Savings after a week: ₹28; Money for the needy: ₹8
c) Savings after a week: ₹29; Money for the needy: ₹9
d) Savings after a week: ₹30; Money for the needy: ₹10

Answer 1

To represent the savings on a number line, we start from zero and add the amounts saved on each day. At the end of the week, Shreya's savings will be ₹56, and the amount kept for helping the needy will be ₹24.

Step-by-step explanation:

To represent the savings on a number line, we start from zero and add the amounts saved on each day. On the 1st day, ₹2 is saved, so we move 2 units to the right. On the 2nd day, ₹4 is saved, but ₹1 is taken out. So, we move 3 units to the right. On the 3rd day, ₹6 is saved, but ₹1 is taken out. So, we move 5 units to the right. We continue this pattern for a week, and at the end of the week, Shreya's savings will be 2 + 4 + 6 + 8 + 10 + 12 + 14 = ₹56. However, she took out ₹1 on each of the 2nd, 4th, 6th, and 8th days. So, the amount kept for helping the needy will be 3 + 5 + 7 + 9 = ₹24.