Week 365 (4th October 2024)

Adam runs a restaurant and is at the wholesalers buying supplies.  

7 kg of carrots and 5kg of onions cost a total of 480p   

The cost of 1 kg of carrots: cost of 1 kg of onions = 5: 9  

Work out how much it will cost Adam to buy 1kg of carrots and 1kg of onions.  

Answer:  

The ratio of the cost of carrots (c) to the cost of onions (t) is 5:9  

 so therefore 9c = 5t  

so t = 9/5c   

Also, 7c plus 5t = 480p   

so then substitute in the price of  7c + 5(5/9c) = 480   

so 7c + 9c =480 so 16c = 480 so c = 30   

so t = (9/5) x 30 = 54   

so therefore 30 + 54 = 84p