Question

Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $25 into her checking account. Write an equation that can be used to find the number of weeks, x, until Rosa has the same amount of money in both accounts.

a) 117 + 21x = 95 + 25x
b) 117x + 21 = 95x + 25
c) 117 + 25x = 95 + 21x
d) 21x - 117 = 25x - 95

Answer 1

The equation that can be used to find the number of weeks, x, until Rosa has the same amount of money in both accounts is 117 + 21x = 95 + 25x.

Step-by-step explanation:

The equation that can be used to find the number of weeks, x, until Rosa has the same amount of money in both accounts is:

117 + 21x = 95 + 25x

To understand how this equation is derived, consider that Rosa starts with $117 in her savings account and $95 in her checking account. Each week, she puts $21 into her savings account and $25 into her checking account. Let x represent the number of weeks elapsed. So after x weeks, the amount in her savings account will be 117 + 21x, and the amount in her checking account will be 95 + 25x. The equation equates these two amounts to find the number of weeks required for the accounts to have the same amount of money.