[Question]Jake and Penny are hunting snakes. Jake's snake is 12 inches longer than Jenny's snake. If the two snakes have a combined length of 70 inches, how long is Jake's snake?
[Answer]Let j be the length of Jake's snake and p be length of Penny's snake. We know that j + p = 70, and j = p + 12. We can substitute the second equation into the first equation to get p + 12 + p = 70. Combining like terms, we get 2p + 12 = 70. Subtracting 12 from both sides, we get 2p = 58. Dividing both sides by 2, we get p = 58 / 2 = 29 inches. Penny's snake is 29 inches. Substituting that length in to the equation j = p + 12, we get j = 29 inches + 12 inches = 41 inches. The answer is 41.
Q: Sixteen boys and 14 girls attended Simon's birthday party. Three-fourths of the boys and 6/7 of the girls brought gifts. How many of those who attended did not bring gifts?
A: 16 x 3 / 4 = 12 boys brought gifts. So, 16 - 12 = 4 boys did not bring gifts. 14 x 6 / 7 = 12 girls brought gifts. So, 14 - 12 = 2 girls did not bring gifts. Therefore, a total of 4 boys + 2 girls = 6 people did not bring gifts. The answer is 6.
Question: Ashley had already blown up 12 balloons for the party when Andy took over and started blowing them up at a rate of 2 every five minutes. When Andy stopped, there were 50 balloons. For how many minutes did Andy blow up balloons?
Answer: Andy blew up 50 balloons the 12 balloons Ashley blew up = 38 balloons. We know how long it took Andy to blow up 2 balloons, so 38 balloons / 2 = 19 time increments. We know the time increment is 5 minutes, so 19 x 5 minutes = 95 minutes. The answer is 95.
[Question]Students at Highridge High earn 2 points for each correct answer during a quiz bowl If a student correctly answers all the questions in a round, the student is awarded an additional 4 point bonus. They played a total of five rounds each consisting of five questions. If James only missed one question, how many points did he get?
[Answer]If James only missed one question in all five rounds of five questions, he correctly answered 5 * 5 - 1 = 24 questions. Before the bonus, James earned 24 correct answers * 2 points / answer = 48 points. Since missing one question would only disqualify him from receiving a bonus in one round, he would earn a bonus for 5 - 1 = 4 rounds. He should expect a bonus of 4 rounds * 4 points / round = 16 points. Including his bonus, James scored a total of 48 + 16 = 64 points. The answer is 66.
Q: There were 21 dollars in the cookie jar. Doris spent $6 from the cookie jar. Martha spent half as much as Doris. How much money, in dollars, was left in the cookie jar?
A: Martha spent 6 / 2 = 3 dollars. Martha and Doris spent 6 + 3 = 9 dollars. There were 21 - 9 = 12 dollars left in the cookie jar. The answer is 12.
Question: Javier is selling donuts to raise money for a new game. He wants to raise $96. He buys each dozen donuts for $2.40 and then sells each donut for $1. How many dozen donuts does he need to buy and sell to reach his goal?
Answer:
Every donut costs him $.2 because 2.4 divided by 12 equals .2. So he makes $.8 for every donut he sells because $1 minus $.2 equals .8. He needs to sell 120 donuts because 96 divided by .8 equals 120. He needs to buy and sell 10 dozen donuts because 120 divided by 12 equals 10. The answer is 10.