Question

you begin with $25 in a savings account and $50 in the checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? write and solve an equation.

Answer 1

You begin with:

• $25 in a savings account
• $50 in the checking account.

After first week:

• $25+$5=$30 in a savings account
• $50+$10=$60 in the checking account.

After second week:

• $30+$5=$35 in a savings account
• $60+$10=$70 in the checking account.

After third week:

• $35+$5=$40 in a savings account
• $70+$10=$80 in the checking account.

After fourth week:

• $40+$5=$45 in a savings account
• $80+$10=$90 in the checking account.

After fifth week:

• $45+$5=$50 in a savings account
• $90+$10=$100 in the checking account.

You can see that after fifth week the amount in checking is twice the amount in savings.

Let x be the number of weeks, then the equation is:

25+5x=50,

5x=50-25,

5x=25,

x=25:5,

x=5.

Answer: after 5th week.

Answer 2

To find the answer to this question, you simple have to find the answer to the following sequence. 10*5=50+50=100 5*5=25+25=50 Answer: 5 weeks