Test: Ratio & Proportion - 1 - JAMB MCQ

Let the numbers be 3x and 4x.
The sum of the numbers is 7x, which is equal to 175.
Therefore, x = 25.
The larger number is 4x = 4 x 25 = 100.

Let the length of the smaller rectangle be 5x, then the length of the larger rectangle is 7x.
The area of the smaller rectangle is 5x * width = 100. Therefore, 5x * width = 100.
So, the area of the larger rectangle is 7x * width
= (7x/5x) x 100
= 7 x 100
= 700 square units.

From x:y = 4:5, we can rewrite it as x/y = 4/5.
Substituting this value in the equation 2x + 3y = 10,
we get 2(4/5) + 3y = 10.
Solving this equation gives y = 2.
Substituting y = 2 in x/y = 4/5 gives x = 6.

Let the salaries of A, B, and C be 4x, 5x, and 6x, respectively.
The sum of their salaries is 4x + 5x + 6x
= 15x.
Given that 15x = ₦60,000, we can solve for x to find x = ₦4,000.
Therefore, the salary of B is 5x = 5 x ₦4,000
= ₦20,000.

Let the ages of the three friends be 2x, 3x, and 5x.
The sum of their ages is 2x + 3x + 5x = 10x,
which is equal to 60 years.
Therefore, x = 6.
The age of the youngest friend is 2x = 2 x 6
= 12 years.

The ratio of cups of sugar to cups of flour is 3:2.
If you want to make 10 cups of the recipe, the number of cups of sugar needed is (10/2) x 3
= 15/2
= 7.5 cups.
Since you cannot have half cups, you should use 6 cups of sugar.

Let the number of boys be 3x and the number of girls be 5x.
The total number of students is 3x + 5x = 8x, which is equal to 120.
herefore, x = 15.
The number of girls is 5x = 5 x 15
= 75.

From x:y = 2:3, we can rewrite it as x/y = 2/3.
Substituting this value in the equation 4x + 5y = 20,
we get 4x + 5(2/3) = 20.
Solving this equation gives x = 2.
Substituting x = 2 in x/y = 2/3 gives
 = 3.

Let the price of the second book be 5x.
The price of the first book is 3x= ₦120.
Solving for x gives x = ₦40.
Therefore, the price of the second book is 5x = 5 x ₦40
= ₦200.

Since the ratio of the sides of the two similar triangles is 2:5, the ratio of their areas is (2²):(5²) = 4:25.
If the area of the smaller triangle is 16 square units, the area of the larger triangle is (25/4) * 16 = 100 square units.