Determining Ratios
A cat store is three-sevenths full of house cats, and the rest are siamese cats. What is the ratio of siamese cats to house cats? (Write the ratio all 3 ways in reduced form)
4 : 3
4 to 3
4/3
2x + 2x = 0
Solve for x
x = 0
4 : 6 = x : 30
Solve for x
x = 20
A parking lot has 27 spaces total. If the ratio of empty spaces to filled spaces is 2 : 1, how many spaces have no cars in them? (Label your answer)
18 spaces
A video uploaded had 18 'up votes'. If the ratio of 'up votes' to 'down votes' was 9 : 2, how many 'down votes' did the video get? (Label your answer)
4 'down votes'
Dave was playing checkers with a friend. Dave won seven-ninths of the games. What is the ratio of games lost to games won? (Write the ratio all 3 ways in reduced form)
2 : 7
2 to 7
2/7
6x + 3x = 36
Solve for x
x = 4
42 : x = 6 : 2
Solve for x
x = 14
A chess player played 56 games total. If the ratio of won to lost games is 5 to 9, how many games did he win? (Label your answers)
20 games
During a race Gwen jogged for 15 minutes. If the ratio of time she jogged to time she walked was 5 : 3, how many minutes did Gwen walk? (Label your answer)
9 minutes
A chess player played 56 games total. If he won 20 of the games, what is the ratio of games he lost to games he won? (Write the ratio all 3 ways in reduced form)
9 : 5
9 to 5
9/5
9x + x = 30
Solve for x
x = 3
x : 7 = 27 : 21
Solve for x
x = 9
A farm is five-sixths full of cows, and the rest are horses. If there are 48 total animals, how many cows are there? (Label your answer)
40 cows
A student finished 45 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 9 : 4, how many total homework problems did she have? (Label your answer)
65 total problems
A buffet offers ranch or caesar dressing. Two-eighths of the dressings are caesar. What is the ratio of ranch dressing to caesar dressing? (Write the ratio all 3 ways in reduced form)
3 : 1
3 to 1
3/1
-4x - 2x = 36
Solve for x
x = -6
30 : x = 25 : 40
Solve for x
x = 48
A fast food restaurant sold 91 burgers. If five-thirteenths of the total burgers sold had cheese, how many burgers did they sell without cheese? (Label your answer)
56 burgers without cheese
A recipe's dry ingredients is two-sevenths sugar, and the rest is flour. If eight cups of sugar were used, how many cups of flour would be needed? (Label your answer)
20 cups
A fast food restaurant sells two sizes of fries, small and large. On Friday they sold 24 fries total. If 4 of the fries sold were small, what is the ratio of large fries sold to small fries sold? (Write the ratio all 3 ways in reduced form)
5 : 1
5 to 1
5/1
-3x + 9x = 48
Solve for x
x = 8
x : 72 = 20 : 40
Solve for x
x = 36
During a class election seven-elevenths of students voted for candidate A compared to candidate B. If 33 total votes were cast, how many voted for candidate B? (Label your answers)
12 voted for candidate B
A candy shop sold 35 bars of white chocolate. If five-ninths of the total bars sold were white, then how many bars of dark chocolate were sold? (Label your answer)
28 dark chocolate bars