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question:Mr. Roberts can buy a television for 400 cash or 120 down payment and 30 a month for 12 months. How much can he save by paying cash?
answer:If Mr. Roberts pays 30 a month for 12 months, he will pay a total of 30 x 12 = 360. If he chooses to pay 120 down payment and then 30 a month for 12 months, he will pay a total of 120 + 360 = 480. Therefore, Mr. Roberts can save 480 - 400 = 80 by paying cash. 80 The answer is: 80
question:Val has three times as many dimes as nickels. If she accidentally finds twice as many nickels as she has in her older brother's treasure box, and takes them for herself, what would be the value of money she has, in dollars, if she had 20 nickels before finding the new ones from her brother's treasure box?
answer:Val has 3 times as many dimes as nickels, so if she has 20 nickels, she has 3*20 = 60 dimes. If she accidentally finds twice as many nickels as she has in her older brother's treasure box, she finds 2*20 = 40 nickels. After taking the new nickels, she now has 20+40 = 60 nickels. The value of each nickel is 0.05, so 60 nickels is equal to 60*0.05 = 3. The value of each dime is 0.10, so 60 dimes is equal to 60*0.10 = 6. In total, Val has 3 from the nickels and 6 from the dimes, so she has 3+6 = 9. 9 The answer is: 9
question:What is the sum of the integers from -30 to 50, inclusive?
answer:The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms. In this case, the first term is -30, the last term is 50, and there are 50 - (-30) + 1 = 81 terms. So, the sum is frac{-30 + 50}{2} cdot 81 = frac{20}{2} cdot 81 = 10 cdot 81 = boxed{810}. The answer is: 810
question:Jerry is sweeping up pieces of broken glass in the parking lot. He sweeps up 20 amber pieces, x green pieces, and some clear pieces. If the green pieces are 25% of the total glass he sweeps up, 85 pieces were clear. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of green pieces of glass that Jerry swept up. Let's break down the information given: Number of amber pieces: 20 Number of green pieces: x Number of clear pieces: 85 Total number of pieces: 20 + x + 85 We know that the green pieces are 25% of the total glass pieces. Therefore, we can set up the equation as follows: x = 0.25 * (20 + x + 85) Let's simplify and solve for x: x = 0.25 * (105 + x) x = 0.25x + 0.25 * 105 x - 0.25x = 26.25 0.75x = 26.25 To isolate x, we divide both sides of the equation by 0.75: x = 26.25 / 0.75 x = 35 The value of x is 35. 35 The answer is: 35