Question

Muffins were sold in three flavors in a bakery. There were 44 more chocolate muffins than vanilla muffins. There were twice as many chocolate muffins as blueberry muffins. All the blueberry muffins were sold. 3/4 of the chocolate muffins and 5/6 of the vanilla muffins were also sold. There were 71 muffins left. How many muffins were sold?

Answer 1

There were 44c than v twice as many blueberry than c 88 b sold. 3/4=0.75 and 5/6=0.833

Try ti work it out from there

Answer 2

number of vanillas --- x
number of chocs = x + 44

"There were twice as many chocolate muffins as blueberry muffins"
--- number of blueberries = 1/2 chocs
= (1/2)(x+44) = x/2 + 22

after sale, 1/4 of the chocs and 1/6 of vanillas are left, which is 71

(1/4)(x+44) + (1/6)x = 71
times 12
3(x+44) + 2x = 852
3x + 132 + 2x = 852
5x = 720
x = 144

so...
vanillas --- 144
chocholates --- 188
blueberries ----94

total muffins = 144+188+94 = 426
left over = 71

<b>muffins sold = 426-71 =355</b>

check:
sold 3/4 of chocs, leaving 47
sold 5/6 of vanillas, leaving 24
total left over = 47+24 = 71

I have the correct answers