Answer is NO, she will not have enough money in 6 weeks
Step by step
Your equation
367.50 ≤ 52.50x
We know x = 6 weeks
367.50 ≤ 52.50 * 6
367.50 ≤ 315
This is not true as she will only have $315
To find the answer
367.50 ≤ 52.50x
Divide both sides by 52.50 to solve for x
367.50/52.50 ≤ 52.50/52.50 x
7 ≤ x
So it will take 7 weeks to earn the amount of money for her summer vacation