In a shop, apples cost 27p each and oranges cost 36p each.
muhammed bought some apples and oranges in the shop. he paid £1.53.
work out how many apples and how many oranges muhammed bought.

!

The number of apple bought is 3

The number of orange bought is 2  

Step-by-step explanation:

Given as :

The price of each apple = 27 p = 27 × 0.01 pound = 0.27 pound

The price of each orange = 36 p = 36 × 0.01 pound = 0.36 pound

The Total money paid for the fruits = 1.53 pounds

Let The Total number of apple bought = a

And The Total number of orange bought = o

Now, According to question

Total money paid for the fruits = Total number of apple bought × price of each apple + Total number of orange bought × price of each orange

Or, 0.27 a + 0.36 o = 1.53               A

Here The Total quantity of fruits bought is not given, so apply hit and trial method to calculate total number of each fruit

Let The a = 1   and  o = 1

So,  0.27 × 1 + 0.36 × 1 = 1.53    

∴   0.63 ≠ 1.53

Again

Put a = 2 , o = 2

So,  0.27 × 2 + 0.36 × 2 = 1.53    

∴   1.26 ≠ 1.53

Again

Put a = 3 , o = 3

So,  0.27 × 3 + 0.36 × 3 = 1.53    

∴   1.89 ≠ 1.53

Now, Let a = 3  , o = 2

So,  0.27 × 3 + 0.36 × 2 = 1.53    

∴   1.53 = 1.53

so, from hit and trial method , we get the number of apple = a = 3

And he number of orange = o = 2

Hence, The number of apple bought is 3

And The number of orange bought is 2 . Answer

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