1.
Johnny has a bag full of marbles that he keeps on his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.
Correct Answer
B. 7:5
Explanation
The ratio of red marbles to green marbles can be found by dividing the number of red marbles by the number of green marbles. In this case, there are 35 red marbles and 25 green marbles. Dividing 35 by 25 gives us 1.4. To simplify the ratio, we can multiply both sides by 2 to get 2.8. Since we cannot have a decimal in a ratio, we round 2.8 to the nearest whole number, which is 3. Therefore, the ratio of red marbles to green marbles is 7:5.
2.
If it costs $90 to feed a family of 3 for one week, how much will it cost to feed a family of 5 for one week?
Correct Answer
D. $150.00
Explanation
The cost to feed a family of 3 for one week is $90. To find the cost to feed a family of 5 for one week, we can set up a proportion. If 3 people cost $90, then 1 person would cost $90/3 = $30. Therefore, 5 people would cost 5*$30 = $150.
3.
In a school, there are four boy scouts to every three girl scouts. If there are forty-two girl scouts, how many boy scouts are there?
Correct Answer
A. 56 boy scouts
Explanation
Since the ratio of boy scouts to girl scouts is 4:3, we can set up a proportion to find the number of boy scouts. If there are 42 girl scouts, we can set up the proportion 4/3 = x/42, where x represents the number of boy scouts. Cross-multiplying, we get 4 * 42 = 3 * x, which simplifies to 168 = 3x. Dividing both sides by 3, we find that x = 56. Therefore, there are 56 boy scouts.
4.
To make green paint, Jack mixes yellow paint and blue paint in a ratio of three to two. If he used twelve gallons of yellow paint, how much blue paint did he use?
Correct Answer
D. 8
Explanation
Jack mixes yellow paint and blue paint in a ratio of three to two. This means that for every three gallons of yellow paint, he uses two gallons of blue paint. If he used twelve gallons of yellow paint, he would need to use eight gallons of blue paint.
5.
On a triangle, each side measures 5 cm, 10 cm, and 30 cm, respectively. In the lowest terms, find the ratios of the lengths of the sides.
Correct Answer
A. 1:2:6
Explanation
The ratios of the lengths of the sides can be found by dividing each side length by the smallest side length. In this case, the smallest side length is 5 cm. Dividing the other side lengths by 5 gives us the ratios 1:2:6.
6.
Crystal mixed orange juice, fruit punch concentrate, and ginger ale in the ratio of 2:2:4 to make a special drink. To make 4 liters, how much of each ingredient should she use?
Correct Answer
D. 1L orange, 1L punch, 2L ginger ale
Explanation
Crystal mixed orange juice, fruit punch concentrate, and ginger ale in the ratio of 2:2:4. This means that for every 2 parts of orange juice, she used 2 parts of fruit punch concentrate and 4 parts of ginger ale. To make 4 liters of the special drink, she needs to use 1 part of orange juice, 1 part of fruit punch concentrate, and 2 parts of ginger ale. Therefore, she should use 1 liter of orange juice, 1 liter of fruit punch concentrate, and 2 liters of ginger ale.
7.
A rectangle measures 20cm at its width and 5 cm at its length. Find the ratio of the length to the width to the perimeter of the rectangle in the lowest form.
Correct Answer
A. 1:4:10
Explanation
The ratio of the length to the width to the perimeter of the rectangle is 1:4:10. This can be determined by dividing the length and width by their greatest common divisor, which is 5 in this case. The length divided by 5 is 1, the width divided by 5 is 4, and the perimeter divided by 5 is 10. Therefore, the lowest form of the ratio is 1:4:10.
8.
Brandon received $50 dollars for his paper route. He spent $20 dollars at the movies, and $10 dollars buying comic books then after buying $5 worth of popcorn, he saved the rest. What is the ratio of the amount of money spent buying comic books and popcorn, to the amount saved?
Correct Answer
C. 1:1
Explanation
Brandon spent a total of $10 on comic books and $5 on popcorn, which adds up to $15. He saved the rest, which is $50 - $15 = $35. The ratio of the amount spent on comic books and popcorn to the amount saved is therefore 15:35, which simplifies to 1:1.
9.
78 children attended a trip to the fair. 60 of them were girls. Find the ratio of the number of girls to boys.
Correct Answer
C. 10:3
Explanation
The ratio of the number of girls to boys can be found by dividing the number of girls (60) by the number of boys (78 - 60 = 18). Simplifying this ratio gives us 10:3.
10.
In Canada, there is one car for every 1.9 people. How many car tires per person are there?
Correct Answer
A. 40/19:1
Explanation
The given ratio of 40/19:1 represents the number of car tires per person in Canada. This means that for every 40 car tires, there is 1 person. Simplifying this ratio, we can conclude that there are approximately 2.1 car tires per person in Canada.
11.
One out of three students in the school owns a cat. Of these students, one out of two owns a fish. What fraction of the students own both a cat and a fish?
Correct Answer
A. 1/6 of all students own both a cat and a fish.
Explanation
Out of three students, one owns a cat. Out of these students, one out of two owns a fish. This means that out of every six students, one student owns both a cat and a fish. Therefore, 1/6 of all students own both a cat and a fish.