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 a

2 thoughts on “<br />13. An apple costs thrice as much as an egg. If 20 apples and a dozen eggs cost * 216, find the price of an<br />apple and a”

1. 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,

   [tex]x = \dfrac{216}{72} [/tex]

   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!

   Reply

2. 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

   Reply