EDGE Math 8

1.	Two buses start at the same point but travel in opposite directions. After 3 h, they are 450 km apart. If one bus travels 10 km/h faster than the other bus, what is the speed of each bus?

80 km/h and 70 km/h

90 km/h and 80 km/h

100 km/h and 90 km/h

none of the choices

Answer: 80 km/h and 70 km/h

2.	There were 200 tickets sold for an inter-high school singing contest. Student tickets cost ₱20 each while faculty tickets cost ₱50 each. The receipts totaled ₱5200. How many of each type of tickets were sold?

150 student tickets and 50 faculty tickets

160 student tickets and 40 faculty tickets

170 student tickets and 30 faculty tickets

none of the choices

Answer: 160 student tickets and 40 faculty tickets

3.

Liza, a restaurant owner, goes shopping for her catering service. She needs 10 kilograms (kg) of mixed nuts, which consist of cashew nuts and peanuts, for the dessert. Cashew nuts cost ₱150 per kilogram and peanuts cost ₱80 per kilogram. If she has ₱1000 allotted for the mixed nuts, how many kilograms of each kind of nuts can she buy?

7 \frac{1}{7} kg

of cashew nuts and

2 \frac{6}{7} kg

of peanuts

2 \frac{6}{7} kg

of cashew nuts and

7 \frac{1}{7} kg

of peanuts

2 \frac{1}{7} kg

of cashew nuts and

7 \frac{6}{7} kg

of peanuts

none of the choices

Answer: $2 \frac{6}{7} kg$ of cashew nuts and $7 \frac{1}{7} kg$ of peanuts

4.	If they work together, Nora and Marie can finish an assigned task in $2 \frac{2}{3} h .$ The same task can also be completed if Nora works alone for 3 h and Marie for 2 h. How long will it take each of them to do the task alone?

Nora will take 6 h and Marie will take 4 h to do the task alone.

Nora will take 6 h and Marie will take 8 h to do the task alone.

Nora will take 4 h and Marie will take 8 h to do the task alone.

none of the choices

Answer: Nora will take 4 h and Marie will take 8 h to do the task alone.

5.

Rene and his coworker, Berting, mow a lawn. They can finish mowing the lawn together if Rene mows the lawn for 4 h and Berting for 9 h. Likewise, they can finish the same job if Rene mows the lawn for 9 h while Berting mows the lawn for

1 \frac{1}{2} h .

How many hours will it take Rene to finish mowing the lawn alone?

12 h

9 h

6 h

none of the choices

Answer: none of the choices; 10 h