Answer:
Step-by-step explanation:
If we call the points she scored in the last game x, we can actually write out an equation to describe what is being said. 20=11+(3/5)x. Hopefully that makes sense. 3/5 of the previous score plus 11 is 20. Anyway, you can just solve this algebraic expression for x.
20=11+(3/5)x subtract 11 from both sides
9 = 3/5 x Multiply both sides by 5
45 = 3x then divide both sides by 3
15 = x And there you go.
The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
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Alternate solutions
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200
The statement on the bottom left is correct. (6 students studied for 20 to 24 hours)
