Question

I need help with this question please (just question 10, not the one below)

Answer 1

Let the cost of each packet of cheese is $x

Let the cost of each burger $y

Calvin bought 5 packets of cheese and 3 burgers for $29.99

Mathematically we can write

`5x+3y=29.99\text{ ..(1)}`

Alex bought 3 packets of cheese and 7 burgers for $32.71

Mathematically we can write

`3x+7y=32.71\text{ ..(2)}`

Now we have to solve equations (1) and (2) for x and y

Now 7*(1)-3*(2) implies

`7*(1)-3*(2)\Rightarrow35x+21y-9x-21x=209.93-98.13\Rightarrow26x=111.8\Rightarrow x=(111.8)/(26)\Rightarrow x=4.30`

Hence the price of each packets of cheese is $4.30