On monday, joseph opened a savings account with an atm card for his summer earnings and deposited all of his first week earnings. On tuesday, he deposited 700 into his account. He withdrew 300 to buy tapes and another 200 on thursday for other expenses. On friday, he withdrew half of what he left in his account to buy clothing. He then had 1400 remaining in the account. How much money did he deposit on monday?
Amount deposited on monday = x
The amounts he has left by the end of each day:
Monday: x
Tuesday: x + 700
Thursday: (x+700) - 300 - 200 = x + 200
Friday: (x + 200) / 2
So (x + 200)/2 = 1400 remaining in the account
Multiply both sides by 2
x + 200 = 2800
Subtract both sides by 200
x = 2600
The amount deposited on monday was 2600
Amount deposited on monday = x
The amounts he has left by the end of each day:
Monday: x
Tuesday: x + 700
Thursday: (x+700) - 300 - 200 = x + 200
Friday: (x + 200) / 2
So (x + 200)/2 = 1400 remaining in the account
Multiply both sides by 2
x + 200 = 2800
Subtract both sides by 200
x = 2600
The amount deposited on monday was 2600