Reese loves to drink healthy green smoothies. A 16oz serving of smoothie has 170 calories. How many calories are in a 24oz smoothie?

255 calories.

Step-by-step explanation:

There are many different ways to solve this, but I only know two.

First I noticed that 16 and 24 were both divisible by 4 so divided 16 by 4 and got 4. Then I divided 170 by 4 and got 42.5. So then I divided 24 by 4 and got 6. I multiplied 6 by 255.

OR

Divide 170 by 16 which gave me 10.625 which is the unit rate or constant of proportionality. So I multiplied 10.625 by 24 and got 255.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2