A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?

total cinnamon sold = 15

total cranberry sold = 40

so, according to the question

cranberry - cinnamon muffin

40-15

25

Hence, 25 cranberry muffins were sold more than cinnamon muffins.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24