Verifying Proportions by Cross Multiplication Method

Q.

Kermits favorite iced tea is made with $15$ tea bags in every $2\mathrm{liters}$ of water. Peggy made a $12-\mathrm{liter}$ batch of iced tea with $90$ tea bags. What will Kermit think of Peggys iced tea?

1. It is too strong.

2. It is too weak.

3. It is just right.

Q. You answered 35 of the 50 questions correctly in a math quiz. If you have correctly solved 70 questions in the chemistry quiz with the same accuracy, find the total number of questions in the chemistry quiz.

1. 50
2. 52
3. 99
4. 100

Q.

The ratio of girls to boys in a school is $2:7$. If the number of boys is $630$, find the number of girls in the school.

Q. The ratio of oranges to bananas is 5:7. Find the number of oranges if there are 126 bananas.

1. 90
2. 100
3. 91
4. 92

Q. If 15 : 20 : : 12 : 16
then using cross-multiplication, we get
15 x = x 12

1. 16
2. 15
3. 20
4. 12

Q. Find the value of x in this equivalent ratio:
x : 16 : : 57 : 114

1. 8
2. 16
3. 9
4. 10

Q. $\text{If}\frac{25}{75}=\frac{125}{375}\text{then using the cross-multiplication method, we get:}$

1. $25\times 375=75\times 125$
2. $25\times 125=75\times 375$
3. $25\times 75=125\times 375$
4. All of these

Q. Which of the following is/are correct?

1. $2:7::n:21$, n = 5
2. $2:7::n:21$, n = 6
3. $7:15::49:n$, n = 105
4. $7:15::49:n$, n = 106