Making Maths Count
Maths Week Scotland – New Outfit
I hope you are enjoying the Maths Week Scotland daily puzzles. Here is the puzzle for day three. There is more than one way to solve this. Good luck!
Asif is shopping for a new outfit for a special occasion. He needs a shirt, a pair of trousers and a pair of shoes. Once he has picked out the items he likes and checked the prices he realises that:
- if he doesn’t buy the shirt, he can get the other items for £115
- if he doesn’t buy the trousers, he can get the other items for £100
- if he doesn’t buy the shoes, he can get the other items for £75.
But, of course, he needs the shirt, the trousers and the shoes. So what will he have to pay for all of them?
Solution to: New Outfit
Here are two possible ways to reach the answer:
The trousers and shoes cost £115.
The shirt and the shoes cost £100.
So the trousers cost £15 more than the shirt.
But the trousers and the shirt cost £75. So we need two numbers that add to 75 but which differ by 15. They are 45 and 30.
So the shirt costs £30 and the cost of all three items is £115 + £30 = £145.
Imagine that Asif and his friend, let’s call him Alistair, go together and buy a shirt, a pair of trousers and a pair of shoes each. As strange as it seems, their tastes are so similar that they select exactly the same items. Together they buy:
|shirt + trousers||£75|
|shirt + shoes||£100|
|trousers + shoes||£115|
They have paid £290 between them, which is £145 each.
Don’t forget to come back tomorrow for the next Maths Week Scotland puzzle!