7. Johnny needs to save $24.00 to buy a new video game. Three weeks after saving, he has $6.00. After 6 weeks, he has $12.00. If Johnny continues to save at this rate, how many total weeks will he have saved money to reach his goal?
The answer I got was 12 weeks..is this correct? Thanks
-MC
He is saving $2 /week
24/2 = 12
So I'm correct?
-MC
Well, at least we agree :)
Thanks for the help! (:
-MC
To determine if your answer is correct, let's analyze the information given.
We know that Johnny needs to save $24.00 and his savings are increasing by $6.00 every three weeks. So, after 6 weeks (double the initial 3 weeks), his savings have doubled as well to $12.00.
Now, let's calculate how much Johnny's savings increase per week:
In 3 weeks, his savings increased by $6.00. Therefore, his savings increase by $6.00/3 weeks = $2.00 per week.
To find out how many total weeks it will take for Johnny to reach his goal of $24.00, we can divide the remaining amount ($24.00 - $12.00 = $12.00) by the weekly savings rate ($2.00).
$12.00 / $2.00 = 6
So, it will take Johnny an additional 6 weeks to save the remaining $12.00.
Now, we add the initial 6 weeks and the additional 6 weeks:
6 weeks (initial savings) + 6 weeks (additional savings) = 12 weeks
Therefore, your answer of 12 weeks is correct. Johnny will have saved money for a total of 12 weeks to reach his goal of $24.00.