A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence?
Let's think: In each panel, the metal sheets use 3 metal sheets * 10 metal rods = 30 metal rods. In each panel, the metal beams use 2 metal beams * 4 metal rods = 8 metal rods. So each panel uses 30 + 8 = 38 metal rods. The entire fence therefore needs 38 metal rods * 10 fence panels = 380 metal rods.. The answer is: 380.

Jesse received $50 as a gift to buy what she wants. She goes to the mall and falls in love with a novel that costs her $7. Then she went to lunch because she was very hungry and spent twice as much as the novel cost her. How much money did Jesse have left after going to the mall?
Let's think: Jesse bought a novel for $7. She then bought lunch for twice the value of the novel, so lunch cost her $7 x 2 = $14. To find out how much money she has left from her gift she must know the total amount she spent $7 + $14 = $21. Her gift was $50, so she was left with $50 - $21 = $29.. The answer is: 29.

Alex is on a cross-country bike trip. After starting this morning, he manages an average speed over flat ground of about 20 miles per hour. Four and a half hours later, the road started to incline upwards enough that he could only manage 12 miles per hour. Two and a half hours later, though, the road declined downhill and was able to mostly coast at 24 miles per hour. Unfortunately, he only got to enjoy this for one and a half hours before he punctured a tire. He had forgotten to pack a repair kit, so he had to walk his bike the rest of the way to the next town. If the next town was 164 miles from where he started this morning, how far did Alex have to walk?
Let's think: Alex traveled at 20 miles per hour for 4.5 hours, so 20 * 4.5 = 90 miles on flat ground. He traveled 12 miles per hour uphill for 2.5 hours, so 12 * 2.5 = 30 miles uphill. He traveled downhill 24 miles per hour for 1.5 hours = 24 * 1.5 = 36 miles downhill. Before his tire punctured, he traveled 90 + 30 + 36 = 156 miles. So as the next town is 164 miles from where he began, Alex had to walk for 164 - 156 = 8 miles.. The answer is: 8.

Pauline has a garden with vegetables. In it, Pauline has planted 3 kinds of tomatoes - 5 of each kind, 5 kinds of cucumbers - 4 of each kind, and 30 potatoes. In the whole garden, there are 10 rows with 15 spaces in each to plant any vegetable. How many more vegetables could Pauline plant in her garden?
Let's think:
Pauline planted in total 3 * 5 = 15 tomatoes. Pauline also planted 5 * 4 = 20 cucumbers. In total Pauline planted 15 + 20 + 30 = 65 different vegetables. The whole garden can be filled up with 10 * 15 = 150 different vegetables. So Pauline could plant 150 - 65 = 85 more vegetables in her garden.. The answer is: 85.