When class 11Y1 found that their favourite teacher, Mr Musson, was leaving they decided to organise a party for him. Lewis, one of the class members, wants to buy 38 cartons of juice. He can buy a single carton of juice for 45p. He can buy a pack of 4 cartons for £1.56 Lewis buys all the cartons he needs for the least possible amount of money. How much did he spend?

Respuesta :

Answer:

The least amount spent is £12.92

Step-by-step explanation:

Given

Number of Carton = 38

A carton = 45 pence

4 carton = £1.56

To spend the least amount of money, be needs to go for the least expensive option.

There are 100 pence in £1

So, there are x pence in £1.36

x * 1 =1.36 * 100

x = 136 pence for 4 carton.

To get the price of 1 carton, divide x by 4

x/4 = 136p/4

x/4 = 34 pence.

This means that he can get a carton of juice at the rate of 34p and at the rate of 45p.

The smallest of this is 34p.

Hence total amount spent =

34 * 38

amount = 1292p --- convert to £

Amount = 1292/100

Amount = £12.92

Hence, the least amount spent is £12.92