Question

Justin and Jason are building a fort. They need 250 pieces of wood. Justin can hammer 10 1/4 pieces of wood an hour. Jason can hammer 9 1/2 in one hour. How many hours will it take them to finish the fort?

Answer 1

$(10 \times \frac{1}{4} \times x) + (9 \times \frac{1}{2} \times x) = 250 \\ \frac{5}{2} x + \frac{9}{2} x = 250 \\ \frac{14}{2} x = 250 \\ 7x = 250 \\ x = \frac{250}{7} \\ x = 35.7$
35.7 hours