let x be the price of muffins
let y be the price of Hot Chocolates
first get the equation where it cost £1.80
£1.80 = 3x+2y equation 1
next get the equation where it cost £1.80
£4.00 = 4x+4y equation 2
multiply equation 1 by 2
2(£1.80 = 3x+2y)
£3.6 = 6x+4y equation 3
equate 2 and 3
-£3.6 6x + 4y = - £4.00 4x + 4y
-£3.6 6x + 4y + £4.00 - 4x - 4y
2x + £0.4 = 0
2x/2 = -£0.4/2
x = - £0.2
OMG why is it negetive.
solve for y
substitute the value of x to equation 1
£1.80 = 3x+2y
£1.80 = 3 (-£0.2)+2y
£1.80 = - £.6 + 2 y
2y/2 = £2.40/2
y = £1.20
checking:
by equation 1.
£1.80 = 3(-£0.2)+2(£1.20)
£1.80 = £1.80
by equation 2
£4.00 = 4(-£0.2)+4(£1.20)
£4.00 = £4.00
since we got a negative price.
it was sold to Molly and Megan in different prices.
