a) Amount of money in Heather's account (in dollars) = 180 + 70x
Amount of money in Juan's account (in dollars) = 100x
b) 180 + 70x = 100x
Step-by-step explanation:
a) Heather's account:
Starting point = $180
Amount to be deposited per month = $70
let the number of months = x
The equation:
Total amount = starting point + Amount to be paid per month (number of months)
Total amount = 180 + 70(x)
Total amount = 180 + 70x
Amount of money in Heather's account (in dollars) = 180 + 70x
Juan's account:
Starting point = 0
Amount to be deposited per month = $100
Total amount = starting point + Amount to be paid per month (number of months)
Total amount = 0 + 100(x)
Total amount = 100x
Amount of money in Juan's account (in dollars) = 100x
b) For the two accounts to have the same amount, we will equate both equations:
180 + 70x = 100x
collect like terms:
180 = 100x - 70x
180 = 30x
divide both sides by 30:
180/30 = x
x = 6
The equation:
180 + 70x = 100x