Marianne has been collecting donations for her biscuit stall at the school summer fayre. There are some luxury gift tins of biscuits to be sold at £5 each, normal packets at £1 each, and mini-packs of 2 biscuits at 10p each. She tells Amy that she has received exactly 100 donations in total, with a collective value of £100, and that her stock of £1 packets is very low compared with the other items. Amy wants to work out how many of each item Marianne has. Show how she can do it.

Respuesta :

First, we define variables:
 x = luxury gift tins of biscuits
 y = normal packets
 z = mini-packs of 2 biscuits
 We have the following system of equations:
 x + y + z = 100
 5x + y + 10z = 100
 "her stock of £ 1 packets is very low compared with the other items"
 So,
 y = 0 (approximately).
 answer:
 Amy must solve the system of equations:
 x + y + z = 100
 5x + y + 10z = 100
 y = 0
 to know how many of each item Marianne has