Question

Eva has £6.05 in her moneybox.

Answer 1

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

Then:

• 20x + 10y + 5z = 605
• y : x = 2 : 1 ⇒ x= y/2
• y : z = 2 : 3 ⇒ z= 3y/2

Rewriting the first equation considering next two:

• 10y + 10y + 7.5y = 605
• 27.5y = 605
• y= 605/27.5
• y= 22
• x= y/2 = 22/2 = 11
• z = 3y/2 = 3*11 = 33

Answer: 11 of 20p coins, 22 of 10p coins and 33 of 5p coins