Word Problems: Money, Grades, and Integers Word Problems: Money, Grades, and Integers 1. Fourteen less than twice a number is 154. Find the number. 1. BHS T’s Inc. sells t-shirts for $6.00 each and shorts for $15.00 each. Before the game they sold three more pairs of shorts than t-shirts and brought in $297.00. How many of each did they sell? 2. Theater sold 42 adult tickets to the play for $5.00 each and student tickets for $3.50 each. If they made $626.50, how many student tickets did they sell? 3. 14 less than twice a number is 154. Find the number. 4. Find four consecutive even integers, if twice the second increased by the third is twenty-eight less than four times the fourth. 5. Three consecutive odd integers are such that the sum of the largest and twice the middle integer is three less than four times the smallest. What is the largest integer? 6. The sum of four consecutive odd integers is 160. Find the integers. 7. Find four consecutive even integers if twice the second increased by the third is ten less than four times the fourth. 8. The sum of four consecutive odd integers is 216. Find the integers. 9. Julio’s scores on four tests were 79, 81, 80 and 91. What must he score on his next test to have an 85 average? 10. Becky needs to maintain a 90 average to stay in Beta Club. What does she need on her fifth test if she has the following grades on her first four tests: 76, 94, 81, 90. 11. Lana ordered concert tickets that cost $7.50 for children and $12.00 for adults. She ordered 8 more children’s tickets than adult’s tickets. Her total bill was $138.00. How many of each type ticket did she order? 12. Adult tickets for the senior class play were $4 each and student tickets were $2 each. A total of 1250 tickets worth $3400 were sold. How many student tickets were sold? 2. The sum of three times a number and six is 39. Find the number. 3. Anna made a 78, 85, 95, 71 & 60 on her first five tests. What does she need on the sixth test to have exactly an 80 average? 4. Bubba made a 78, 65, 70 & 82 on his first four tests. What does he need on the fifth test to have exactly a 78 average? 5. The sum of three consecutive odd integers is 171. What is the middle integer? 6. Find three consecutive even integers such that twice the second increased by half the first is 69. Find the largest integer. 7. Find 4 consecutive integers such that 3 times the largest is 20 more than the sum of the middle two. 8. In an evening, a sporting goods store sold twice as many t-shirts as shorts. T-shirts are $9.00 each and shorts are $14.00 each. The total amount of money taken in for both items was $256.00. Find the number of each sold. 9. Alan bought 5 pounds of peanuts for $2.50 per pound. He also bought cashews for $6.00 per pound. If Alan spent $30.50, how many pounds of cashews did he buy? Answers (mixed order): 2 16 16 16 17 3 26 8 30 11 57 14 84 15 91 15 95 Answers (mixed order): -6 -4 -2 0 4 9 10 12 12 12 12 14 15 15 16 16 18 18 25 32 37 39 41 43 51 53 55 57 84 94 109 119 800