Question

mince pies and 2 jars of cranberry sauce costs £4.80 10 mince pies and 3 jars of cranberry sauce costs £7.60 How much does a mince pie and a jar of cranberry sauce cost each?

Answer 1

By creating a system of equations and using the elimination method, we determined that a mince pie costs £0.09, and a jar of cranberry sauce costs £2.27.

Step-by-step explanation:

To find out how much a mince pie and a jar of cranberry sauce cost each, we can set up a system of equations based on the information provided. Let's let x be the cost of one mince pie and y be the cost of one jar of cranberry sauce. The two equations representing the given scenarios are:

1. 3x + 2y = £4.80
2. 10x + 3y = £7.60

We can solve these equations using the substitution or elimination method. For simplicity, let's use the elimination method:

• Multiply the first equation by 3 to balance the coefficients of y:
  (3x + 2y) * 3 = £4.80 * 3, giving us 9x + 6y = £14.40.
• You can then subtract the second equation from this new equation:
  9x + 6y - (10x + 3y) = £14.40 - £7.60, which simplifies to -x + 3y = £6.80.
• Solve for y by dividing by 3:
  y = £6.80 / 3, yielding y = £2.27 (rounded to two decimal places).
• Substitute the value of y back into the first equation to solve for x:
  3x + 2(£2.27) = £4.80, which simplifies to 3x = £4.80 - £4.54, giving x = £0.26/3, thus x = £0.09.

Therefore, a mince pie costs £0.09, and a jar of cranberry sauce costs £2.27.

Answer 2

£2.53 just divide£7.60by 3