[Question]The country of Belize had a 5 lane bridge that had 2000 vehicles passing through it every month. They decided to build a new bridge that had twice the capacity of the old one, and the number of vehicles passing through the new one increased by 60% more than the old bridge. If the bridges work concurrently for a year, calculate the total number of vehicles that pass through the two bridges.
[Answer]In a year with 12 months, the total number of vehicles passing through the old bridge is 2000 * 12 = 24000. The new bridge has a capacity of 60 / 100 * 2000 = 1200 more vehicles passing through it in a month than the old one. The total number of vehicles passing through the new bridge in a month is 2000 + 1200 = 3200. There are 3200 * 12 = 38400 vehicles passing through the new bridge in a year. Altogether, the two bridges have 38400 + 24000 = 62400 vehicles passing through them in a year. The answer is 62400.
Q: In Carrie's desk drawer there are 7 yellow highlighters. There are 7 more pink highlighters than yellow highlighters, and there are 5 more blue highlighters than pink highlighters. How many highlighters are in Carrie's desk drawer in all?
A: The number of pink highlighters is 7 + 7 = 14. The number of blue highlighters is 14 + 5 = 19. There are 7 yellow highlighters. The total number of yellow, pink, and blue highlighters is 7 + 14 + 19 = 40. The answer is 40.
Question: Three years from now, Tully will be twice as old as Kate. How old was Tully a year ago if Kate is now 29 years old?
Answer: Three years from now, Kate will be 29 years + 3 years = 32 years old. So by that time, Tully will be 32 years x 2 = 64 years old. This means, Tully is 64 years - 3 years = 61 years old now. Therefore, Tully was 61 years - 1 year = 60 years old last year. The answer is 60.
[Question]Laura is planning her wedding. She expects 220 people to attend the wedding, but she has been told that approximately 5% typically don't show. How many people will go to her wedding?
[Answer]Laura expects 100 - 5 = 95% to show up. Laura expects 220 * 0.95 = 209 guests. The answer is 209.
Q: George collected 50 marbles in white, yellow, green, and red. Half of them are white, and 12 are yellow. There are 50% fewer green balls than yellow balls. How many marbles are red?
A: Half of the marbles are white, so there are 50 / 2 = 25 white marbles. Green marbles are only 50% as many as yellow marbles, so there are 50 / 100 * 12 = 6 green marbles. So currently we know that we have 25 + 12 + 6 = 43 marbles. The rest are red, so there are 50 - 43 = 7 red marbles. The answer is 7.
Question: Peter needs 80 ounces of soda for his party. He sees that 8 oz cans cost $.5 each. How much does he spend on soda if he buys the exact number of cans he needs?
Answer:
He needs 10 cans because 80 / 8 = 10. He spends $5 because 10 x .5 = 10. The answer is 5.