+16 cheese muffins: 3/5 x M
apple muffins: 3/10 x M - 6
banana muffins: B
the total revenue from the muffin sales is given by the sum of the revenue from each type of muffin:
1.50 x (3/5 x M) + 1.20 x (3/10 x M - 6) + 1.40 x B = 561.20
simplify and solve for B. First, multiply the terms:
1.50 x (3/5 x M) + 1.20 x 3/10 x M - 1.20 x 6 + 1.40 x B = 561.20
0.90M + 0.36M - 7.20 + 1.40B = 561.20
combine like terms:
1.26M + 1.40B = 568.40
Now, additional info is needed to find the specific value of M or B to solve the problem. If you have another equation or additional information about the total number of muffins sold (M), you can substitute it in and solve for B. Otherwise, you won't be able to determine the exact values of M and B.
+128732 Call the total muffins sold = T
Cheese Muffins sold = (3/5)T
Apple sold = (3/10)T - 6
Banana sold = T - (3/5)T - (3/10T - 6) = (1/10) T + 6
Quantity sold each * price each = Revenue
(3/5)T * (1.50) + (3/10T - 6) * (1.20) + (1/10 T + 6) *(1.40) = 561.20 simplify
.90T + .36T - 7.20 + .14T + 8.40 = 561.20 multiply through by 100
90T + 36T - 720 + 14T + 840 = 56120
140T + 120 = 56120
140T = 56000
T = 56000 / 140 = 400
Number of Banana sold = (1/10)(400) + 6 = 46
