A newly released book includes hardback and paperback. If the sales price for the hardback is $20, and the sales price for the paperback is $15, what is the average price for all of the books sold during a certain day?
(1) The ratio of the number of the hardback sold to the number of paperback sold is 5 to 3.
(2) A total of 160 books were sold during the day.
What is the tens digit of the positive integer s?
(1) The hundreds digit of s is 3.
(2) The hundreds digit of 10s is 4.
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At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?
(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.
(2) At the end of the year, 21 members remained on the Planning Committee.
What is the units digit of y?
(1) The units digit of y2 = 9.
(2) The units digit of y4 = 1.
If z is equal to one of the numbers 3/5, 5/8 or 2/3, what is the value of z?
(1) 1/2 < z < 2/3
(2) 5/9 < z < 5/6
What is the average weight of all the students in the class?
(1) The ratio of the average weight of all the boys to girls the average weight of all the girls in the class is 3:2
(2) The number of boys and girls in the class are 40 and 60 respectively
A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?
(1) There are 200 fish in the aquarium
(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.
A mixture consists of liquids A, B, and C in the ratio of 1:4:6, respectively. What is the total volume of the mixture in liters?
(1) If the amount of liquid A were doubled, the ratio would be 1:2:3.
(2) If 5 liters of liquid A were added, the ratio would be 1:2:3.
All of the members of club Y are either Democrats or Republicans. If 1/2 of the male members and 3/5 of the female members are Democrats, what is the ratio of the number of males to the number of females in the club?
(1) In club Y the number of female members is one less than the number of male members.
(2) In club Y the number of male Republican members is equal to the number of female Democratic members.
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?
(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.