Question

13. An apple costs thrice as much as an egg. If 20 apples and a dozen eggs cost * 216, find the price of an
apple and an egg​

Answer 1

let price of Apple be x and egg be y

x = 3y --(1)

x+y = 216 --(2)

substitute (1) in (2)

3y+y = 216

y= 216 / 4

therefore y = 54

substitute y = 54 in (1)

x = 3×54 = 132

therefore price of Apple = 132 rs

price of egg =54 rs

Answer 2

Question:-

An apple costs thrice as much as an egg. If 20 apples and a dozen eggs cost ₹216, find the price of an

apple and an egg.

Given:-

• Cost of an apple is thrice that of an egg
• 20 apples and a dozen eggs together cost ₹216

Aim:-

• To find the cost of an egg and an apple.

Let the cost of 1 egg be = ₹x

According to the question,

Cost of 1 apple = 3(x) => ₹3x

Therefore,

The cost of 20 such apples will be:-

Cost of 1 apple × 20

=> 3x × 20

=> ₹60x

• A dozen refers to 12

Hence,

The cost of a dozen eggs will be:-

Cost of 1 egg × 12

=> x × 12

=> ₹12x

It's given that the total is ₹216.

Cost of 20 apples + Cost of 12 eggs = ₹216

₹60x + ₹12x = ₹216

Adding,

₹72x = ₹216

Transposing 72 to the other side,

$x = \dfrac{216}{72}$

By reducing to the lowest terms,

x = 3

Now that we know the value of x, The cost of :-

An egg = ₹3

An apple = ₹9 (3×3)

Verification:-

In order to check the answer, let us substituting the value of x as 3,

Cost of 20 apples = ₹180 (9 × 20)

Cost of 12 eggs = ₹36 (3 × 12)

The sum :-

180 + 36

=> 216

The final sum is matching hence verified.

Hope this helps!

Have a wonderful day ahead!