Mathematics
Grade-8
Easy

Question

A teacher asked to give a statement regarding the proportional relationship
Adam: “The cost of 5 apples is $2.”
Jack: “The cost of 15 bananas is $2.25.”
David: “The cost of 6 kiwis is $1.8.”
Now, the teacher asked George to choose the cheapest unit rate of those three, the answer George would give is

  1. Mountain paradise Adam
  2. Jack
  3. David
  4. Both David and Jack

hintHint:

Calculate the cost per unit of each fruit to find the cheapest rate of all.

The correct answer is: Jack


    A c c o r d i n g space t o space A d a m apostrophe s space s t a t e m e n t comma
C o s t space o f space 5 space a p p l e s space equals space $ 2
T h e r e f o r e comma space cos t space o f space 1 space a p p l e space equals space x

B y space c r o s s minus m u l t i p l i c a t i o n space m e t h o d comma
x space equals space 2 over 5 space equals space $ 0.4

A c c o r d i n g space t o space J a c k apostrophe s space s t a t e m e n t comma
C o s t space o f space 15 space b a n a n a s space equals space $ 2.25
T h e r e f o r e comma space c o s t space o f space 1 space b a n a n a space equals space y

B y space c r o s s minus m u l t i p l i c a t i o n space m e t h o d comma
y space equals space fraction numerator 2.25 over denominator 15 end fraction space equals space $ 0.15

A c c o r d i n g space t o space D a v i d apostrophe s space s t a t e m e n t comma
C o s t space o f space 6 space k i w i s space equals space $ 1.8
T h e r e f o r e comma space c o s t space o f space 1 space k i w i space equals space z

B y space c r o s s minus m u l t i p l i c a t i o n space m e t h o d comma
z space equals space fraction numerator 1.8 over denominator 6 end fraction space equals space $ 0.3

H e r e comma space w e space g e t
C os t space o f space 1 space a p p l e space equals space $ 0.4
C os t space o f space 1 space b a n a n a space equals space $ 0.15
C os t space o f space 1 space k i w i space equals space $ 0.3

H e n c e comma space t h e space c h e a p e s t space r a t e space i s space o f space b a n a n a.

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