Question

There are 60 slices of cheesecake in 5 cheesecakes. If there are the same number of slices in each cheesecake, how many slices are in 8 cheesecakes?

Answer 1

`96`

Explanation:

We could use the `color(blue)"unitary method".` That is calculate the number of slices in 1 cheesecake and multiply this by 8.

`"5 cheesecakes"to60" slices"`

`rArr"1 cheesecake"to60÷5=60/5=12" slices"`

`"number of slices in 8" =8xx12=96`

`"OR we could use the" color(blue)" ratio method"`

`color(red)(5)/color(blue)(60)=color(blue)(8)/color(red)(x)`

and `color(blue)"cross-multiplying"`

`rArrcolor(red)(5x)=(color(blue)(8)xxcolor(blue)(60))`

To solve for x, divide both sides by 5

`(cancel(5) x)/cancel(5)=(8xxcancel(60)^(12))/cancel(5)^1`

`rArrx=8xx12=96" slices"`