To determine how many yards Johnnie can mow to have no more than $900 in his account, we can set up the following equation:
Let \( x \) represent the number of yards mowed. Johnnie earns $7 for every yard mowed, so we can express his total earnings as:
\[ \text{Total earnings} = 7x \]
We want this to be less than or equal to $900:
\[ 7x \leq 900 \]
Now, to find \( x \), we can divide both sides of the inequality by 7:
\[ x \leq \frac{900}{7} \]
Calculating the right side:
\[ x \leq 128.57 \]
Since Johnnie cannot mow a fraction of a yard, we round down to the nearest whole number:
\[ x \leq 128 \]
So, Johnnie can mow a maximum of 128 yards to have no more than $900 in his account.