Math

Arithmetic Hard 2

⏱ 10:00

600%
• 4, 11, 18, . . . In the sequence above, the first term is 4 and each term after the first is 7 more than the previous term. What is the 12th term of the sequence?
• In April of 2004, d dogs and c cats lived in an animal shelter. If 4 cats arrived at the shelter in May of 2004 and the ratio of dogs to cats remained unchanged, in terms of c and d, how many dogs arrived at the shelter in May of 2004?
• The price of admission to the New Haven Children’s Museum is \$6 more for adults than for children. If a group of 6 adults and 18 children pays a total of \$108 to visit the museum, what is the cost, in dollars, of the ticket for one adult?
• A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Pérez. If Garcia won by a ratio of 5 to 3, what was the number of votes cast for Pérez?
• (1- (1- (1- 3)))- (1- (1- (1- 2))) =
• If 70% of the bananas in a particular harvest had an average (arithmetic mean) length of 7 inches and 30% of the bananas in that harvest had an average (arithmetic mean) length of 5 inches, what was the average (arithmetic mean) length, in inches, of all of the bananas in the harvest?
• A jar contains only red and black marbles.Originally, the ratio of black marbles to red marbles was 4:5. After 18 black marbles were added, the ratio of black marbles to red marbles became 5:4. How many marbles were in the jar originally?
• A jar contains marbles that are either red,white or blue. If the ratio of white marbles tored marbles is 3 to 5 and the ratio of red marbles to blue marbles is 6 to 5, then what is the least possible number of marbles in the jar?
• If w ≠ 0, then 40 percent of 20w is equal to
• How many different four-digit integers can be formed using the digits 3, 4, 5, 6, 7, 8, 9 if the tens digit is 5 and no digit is repeated within an integer?
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