Question

Eli started saving money in his empty piggy bank. He inserted $1 on every Monday, $2 on every Tuesday, $3 on every Wednesday, $4 on every Thursday, $5 on every Friday, $6 on every Saturday, and $7 on every Sunday. At the end of 24 days, he opened his bank and found he had $93. On which day of the week did he start inserting money into his piggy bank?

Answer 1

Tuesday

Explanation:

Given:

Monday: $1

Tuesday: $2

Wednesday: $3

Thursday: $4

Friday: $5

Saturday: $6

Sunday: $7

And after 24 days he had $93

____

So lets convert 24 days into weeks. A week has 7 days we divide 24/7 and get 3.42857 weeks or just have it as 3 weeks and 3 days.

24 days = 3 weeks and 3 days

Now we want to know how much does Eli make in 1 week, we add all the numbers 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

Eli makes $28 in one week. And (28x3) in three weeks which is $84.

Now that we know that Eli made $84 in three weeks, we have three days left - now we calculate the difference.

93 - 84 = 9

Now these 9 dollars are split into three days. This means he started on Tuesday since Saturday is $7 and Monday is $1 and that sums it up to $8 and the first dollar was placed in his piggy bank on a Tuesday.