First, we need to find the total number of bookmarks that Ken, Ahmad, and Oliver had together. We know that:
Average = (Total sum of items) ÷ (Number of items)
So, we can write an equation for their average number of bookmarks:
160 = (Ken + Ahmad + Oliver) ÷ 3
Multiplying both sides by 3, we get:
480 = Ken + Ahmad + Oliver
We also know that Ken had 36 bookmarks, so we can substitute that into the equation:
480 = 36 + Ahmad + Oliver
Subtracting 36 from both sides, we get:
444 = Ahmad + Oliver
We also know that Ahmad had four times the total number of bookmarks that Ken and Oliver had. So, we can write another equation:
Ahmad = 4 × (Ken + Oliver)
Substituting Ken's value, we get:
Ahmad = 4 × (36 + Oliver)
Simplifying, we get:
Ahmad = 144 + 4Oliver
Now we can substitute this value back into our earlier equation:
444 = Ahmad + Oliver
444 = (144 + 4Oliver) + Oliver
300 = 5Oliver
Oliver = 60
So, Ahmad had:
Ahmad = 144 + 4Oliver
Ahmad = 144 + 4(60)
Ahmad = 384
Therefore, Ahmad had 384 bookmarks and Oliver had 60 bookmarks. Ahmad had 324 more bookmarks than Oliver.
Ken, Ahmad and Oliver had an average of 160 bookmarks. Ken had
36 bookmarks. The number of bookmarks Ahmad had was four times the total number of bookmarks Ken and Oliver had. How many more bookmarks did Ahmad have than Oliver?
1 answer