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?
1 Answer
Dec 15, 2016
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"#