You and your friend are both knitting scarves for charity. You knit 8 rows each minute and already have knitted 10 rows.Your friend knits 5 rows each minute and has already knitted 19 rows. When will you both have knitted the same number of rows?
rows= starting rows+ rate*time
so to make them equal
You rows=friend rows
10+8t=19+5t
solve for t.
T=3
To determine when you and your friend will have knitted the same number of rows, we can set up an equation.
Let x be the number of minutes it will take for you and your friend to have knitted the same number of rows.
For you, the total number of rows knitted is given by: number of rows knitted per minute multiplied by the number of minutes, which is 8x + 10.
For your friend, the total number of rows knitted is given by: number of rows knitted per minute multiplied by the number of minutes, which is 5x + 19.
To find when you both have knitted the same number of rows, we set up the equation:
8x + 10 = 5x + 19
Now, we can solve for x:
8x - 5x = 19 - 10
3x = 9
Dividing both sides of the equation by 3:
x = 3
Therefore, it will take 3 minutes for you and your friend to have knitted the same number of rows.
To determine when you and your friend will have knitted the same number of rows, you can set up a simple equation.
Let's assume it will take t minutes for both of you to knit the same number of rows.
For you, the total number of rows knitted would be 8t + 10 (8 rows per minute multiplied by t minutes plus the initial 10 rows).
For your friend, the total number of rows knitted would be 5t + 19 (5 rows per minute multiplied by t minutes plus the initial 19 rows).
To find when the two totals are equal, set up the equation:
8t + 10 = 5t + 19
Simplifying the equation:
8t - 5t = 19 - 10
3t = 9
Dividing both sides of the equation by 3:
t = 3
Therefore, you and your friend will have knitted the same number of rows after 3 minutes.