A bakery makes three flavors of bagels - strawberry, cinnamon-raisin, and blueberry. This morning they made a total of 52 bagels. They made two more cinnamon-raisin than strawberry. The number of blueberry is 9 more than the number of cinnamon-raisin. How many of each flavors did they make?

Respuesta :

s + c + b = 52
c = s + 2
b = c + 9.....b = s + 2 + 9....b = s + 11

s + (s + 2) + (s + 11) = 52....combine like terms
3s + 13 = 52
3s = 52 - 13
3s = 39
s = 39/3
s = 13 <=== there were 13 strawberry bagels

c = s + 2
c = 13 + 2
c = 15 <=== there were 15 cinnamon-raisin bagels

b = c + 9
b = 15 + 9
b = 24 <=== there were 24 blueberry bagels