Emily spent X dollars on Friday, twice that amount on Saturday, and then three times X on Sunday. Over the three days, she spent $120. What is the value of X, in dollars? Give the rationale and then the answer.
Let's think step by step. She spent X dollars on Friday. She spent 2X dollars on Saturday. She spent 3X dollars on Sunday. X + 2X + 3X = 120. 6X = 120. X = 20.. The answer is: 20.

Ben bought a lawnmower for his garden. He paid $100 for it. After six months, the value of the mower dropped by about 25%. Over the next year, the value of the mower dropped another 20% in value. How much is Ben's lawnmower worth after this time? Give the rationale and then the answer.
Let's think step by step. The first value drop of the lawnmower was 25 / 100 * 100 = $25. So the lawnmower was worth 100 - 25 = $75. Over the next year, the value dropped another 20%, which is 20 / 100 * 75 = $15. So after all this time, Ben's lawnmower is worth 75 - 15 = $60.. The answer is: 60.

Isabela bought twice as many cucumbers as pencils, with both costing $20 each. If she got a 20% discount on the pencils and bought 100 cucumbers, calculate the total amount she spent to buy the items. Give the rationale and then the answer.
Let's think step by step. Isabela bought twice as many cucumbers as pencils, meaning she bought 100 / 2 = 50 pencils. The total cost for purchasing the pencils without the discount is 50 * $20 = $1000. At a 20% discount, Isabela paid 20 / 100 * $1000 = $200 less. The total amount of money she used to buy the pencils is $1000 - $200 = $800. She also bought the cucumbers at a total cost of $20 * 100 = $2000. The total cost for the items is $2000 + $800 = $2800.. The answer is: 2800.