We have from Thales theorem that because the 2 triangles are similar, JM/JK=JN/JL. We have that JN=x, JL=x+24 and that JM=7 and JK=28. Substituting, we get: x/(x+24)=7/28. Hence, x/(x+24)=1/4. This leads to 4x=x+24, 3x=24, x=8. We have solved for x=JN and this is equal to 8.
Total amount of cash the student earns per hour is $7.5, let the time taken to earn $200 be h, thus the inequality representing this will be: 7.5h≤200 thus h≤80/3 writing in whole numbers we shall have: h≤27
