Question

Jacob saved ₱100 in March, ₱200 in April, ₱300 in May and so on until December. In which month did he save ₱1,000? How much did Jacob save for 10 months?

Answer 1

Step-by-step explanation:

1. In October he saved 1000
2. In 10months he saved 5500

(Please mark as brainliest)

Answer 2

Given:

Savings by Jacob=100, 200, 300, and so on

To find:

i. The month in which he saved ₱1,000

ii. Total savings for 10 months

Solution:

Jacob saved ₱1,000 in December and his total savings for 10 months is ₱5,500.

We can find the values by following the given process-

We know that Jacob's savings keep on increasing by 100 every month.

Jacob's savings in March=₱100

Jacob's savings in april=₱200

Jacob's savings in May=₱300

i. The given savings of Jacob form an arithmetic progression with a common difference of ₱100.

So, the sequence formed by his savings is ₱100, ₱200, ₱300, ₱400, ₱500, ₱600, ₱700, ₱800, ₱900, ₱1000.

The sequence of the 10 months becomes March, April, May, June, July, August, September, October, November, and December.

Starting from March, he saves ₱1000 in the month of December.

ii. Now, to calculate his savings of the 10 months from March to December, we will have to add his savings.

Total savings in 10 months=₱100+ ₱200+ ₱300+ ₱400+ ₱500+ ₱600+ ₱700+ ₱800+ ₱900+ ₱1000

=₱5,500

Therefore, Jacob saved ₱1,000 in December and his total savings for 10 months is ₱5,500.