Question

20 points!!!! Freya is collecting 50p and £1 coins. When she has 18 coins the value of them is £13.

Let x be the number of 50p coins and y the number of £1 coins. Write a pair of simultaneous equations for this.

Answer 1

Answer:

• x + y = 18
• 0.5x +y = 13

Step-by-step explanation:

The system of equations formalizes the given relationships regarding the number of coins and their value.

  x + y = 18 . . . . . . Freya has 18 coins

  0.50x +1.00y = 13 . . . . their value is £13

_____

Additional comment

The solution can be found by subtracting the second equation from the first:

  0.5x = 5

  x = 10

  y = 18 -10 = 8

Freya has 10 50p coins and 8 £1 coins.