Tim and Jane both work for a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the amount of cereal in each box weighs 160g. The company wants to have a special offer 25% more cereal in each box do not change the price Here is Janes idea reduce the price and do not change the amount of cereal added in the box jane wants her idea to give the same value for money as tims idea. By what percentage does she need to reduce the price

20% reduction

Step-by-step explanation:

Given

Required

Price reduction in Jane's idea

First, calculate the new weight of the box (the original plan)

Express 1 as percentage

So, the original idea is:

i.e. 200g costs 3 pounds each

Calculate unit price

pound per gram

For Jane's idea, the price of each box will be:

pound

The percentage reduction is then calculated as:

what does x eaqual

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!