Help with word problems please? So I am studying for a test and I would like to check my answers, could you please solve these and let me know what you get? If you don't want to solve every single one, that is ok, I understand lol but it would be a tremendous help to me! :) 1) Arthur Choke answered all 50 questions on his economics test. He received a score of 67 which was computed by counting 2 points for each correct answer and subtracting 1 point for each incorrect answer. How many questions did Arthur answer correctly? 2) A 15% alcohol solution is mixed with a 40% alcohol solution to make 20 ounces of a 30% alcohol solution. How many ounces of the 15% solution should be used? 3) Beauregard Jingles has $3.65 in dimes and quarters, including five more dimes than twice the number of quarters. How many quarters does he have? ((I don't know how to do this one, so if you could show a step by step process that would be amazing!!!)) 4) Adults paid $5.50 and children paid $1.50 each for their tickets to a basketball game. The total receipts from the 4000 tickets sold was $16,400.00. What is the number of adult tickets sold? 5)) The combined cost of a purse and a pair of shoes is $285. If the price of the purse is $35 less than 3 times the price of the shoes, then the price of the shoes is: 6) The perimeter of an isosceles triangle is 49 inches. The third side is 11 inches less than twice the length of the equal sides. The length of the longest side is: 7) An accountant needs to know the number of cars and motorcycles in a dealer's inventory. The dealer told her there are 30 engines and 106 wheels. How many motorcycles are there?
1) x=number correct 50-x=number wrong x(2) + (50-x)(-1) = 67 2x -50 + x = 67 3x = 117 x = 39 He got 39 questions correct. 2) x=number of ounces of 15% 20-x=number of ouces of 40% x(0.15) + (20-x)(0.40) = (20)(0.30) 0.15x + 8 - 0.40x = 6 -0.25x = -2 x = 8 8 ouces of 15%. 3) x=number of quarters 5+2x = number of dimes (0.25)(x) + (0.10)(5+2x) = 3.65 0.25x + 0.50 + 0.20x = 3.65 0.45x = 3.15 x = 7 He has 7 quarters. The rest are more or less the same.