[Question]Ralph is going to practice playing tennis with a tennis ball machine that shoots out tennis balls for Ralph to hit. He loads up the machine with 175 tennis balls to start with. Out of the first 100 balls, he manages to hit 2/5 of them. Of the next 75 tennis balls, he manages to hit 1/3 of them. Out of all the tennis balls, how many did Ralph not hit?
[Answer]Out of the first 100 balls, Ralph was able to hit 2 / 5 of them and not able to hit 3 / 5 of them, 3 / 5 x 100 = 60 tennis balls Ralph didn't hit. Out of the next 75 balls, Ralph was able to hit 1 / 3 of them and not able to hit 2 / 3 of them, 2 / 3 x 75 = 50 tennis balls that Ralph didn't hit. Combined, Ralph was not able to hit 60 + 50 = 110 tennis balls Ralph didn't hit. The answer is 110.
Q: Terry spent 6$ for breakfast on Monday, twice as much on Tuesday, and on Wednesday Terry spent double what he did the previous two days combined. How much did Terry spend total?
A: Monday: 6$. Tuesday:6(2) = 12$. Wednesday:2(6 + 12) = 36$. Total:6 + 12 + 36 = 54$. The answer is 54.
Question: Mason opens the hood of his car and discovers that squirrels have been using his engine compartment to store nuts. If 2 busy squirrels have been stockpiling 30 nuts/day and one sleepy squirrel has been stockpiling 20 nuts/day, all for 40 days, how many nuts are in Mason's car?
Answer: First find the number of nuts the two busy squirrels gather per day: 2 squirrels * 30 nuts / day / squirrel = 60 nuts / day. Then add the number the sleepy squirrel gathers each day: 60 nuts / day + 20 nuts / day = 80 nuts / day. Then multiply the number of nuts gathered daily by the number of days to find the total number of nuts gathered: 80 nuts / day * 40 days = 3200 nuts. The answer is 3200.
[Question]A chair costs 1/7 of the cost of a table. If a table costs $140, how much will it cost to buy a table and 4 chairs?
[Answer]One chair costs $140 x 1 / 7 = $20. Four chairs cost $20 x 4 = $80. So a table and 4 chairs cost $140 + $80 = $220. The answer is 220.
Q: Shaniqua styles hair. For every haircut she makes $12 and for every style she makes $25. How many dollars would Shaniqua make if she gave 8 haircuts and 5 styles?
A: Haircuts = 8 * 12 = 96. Styles = 5 * 25 = 125. Total earned = 96 + 125 = $221. The answer is 221.
Question: When Pogo, the four-legged martian, walks across the soft Martian soil, it leaves 4 footprints every meter. But Grimzi, the three-legged Plutonian, leaves only 3 footprints in the soft sands of Pluto for every 6 meters it walks. If Pogo travels 6000 meters across the soil of Mars, and Grimzi travels for 6000 meters across the fine sands of Pluto, what is the combined total number of footprints the two creatures will leave on the surfaces of their respective planets?
Answer:
Since Pogo leaves 4 prints per meter, then over 6000 meters it would leave 4 * 6000 = 24,000 footprints on the soils of Mars. Grimzi leaves 3 prints per 6 feet, or 3 / 6 = 0.5 footprints per meter. Then over 6000 meters, Grimzi leaves 0.5 * 6000 = 3000 footprints on the sands of Pluto. In total, the two creatures will leave 24,000 + 3000 = 27,000 footprints. The answer is 27000.