To find how many times you need to add 30 to 20 to reach 210, you can set up the equation as follows:
Let \( x \) be the number of times you add 30:
\[ 20 + 30x = 210 \]
Now, subtract 20 from both sides:
\[ 30x = 210 - 20 \] \[ 30x = 190 \]
Next, divide both sides by 30:
\[ x = \frac{190}{30} \] \[ x = \frac{19}{3} \] \[ x \approx 6.33 \]
Since \( x \) should be a whole number for the context of adding 30 repeatedly, you can add 30 six times:
Starting with 20:
- After 1 time: \( 20 + 30 = 50 \)
- After 2 times: \( 50 + 30 = 80 \)
- After 3 times: \( 80 + 30 = 110 \)
- After 4 times: \( 110 + 30 = 140 \)
- After 5 times: \( 140 + 30 = 170 \)
- After 6 times: \( 170 + 30 = 200 \)
After adding 30 six times, you get 200. If you want to reach exactly 210, you would need to add another 10:
So, in total, you would add 30 six times and then add 10 once to reach 210.