Solving fractions

Question

Mike is ordering coffee drinks for the monthly staff meeting. 1/4 of the staff ordered a latte, 1/8 of the staff ordered a cappuccino, and 3/5 of the remaining staff ordered an Americano. Some staff members ordered a mocha. If Mike ordered 6 Americanos how many coffee drinks did he order in total?

Answer 1

X is the total number of drinks

1/4 + 1/8 = 3/8 <--- latte and Cappucccino

5/8 remains

3/5 of the remaining are Americano.

3/5 * 5/8 = 3/8 are Americano

3/8 X = 6

X = 6*8/3 = 48/3 = 16

1/4 * 16 = 4 latte

1/8 *16 = 2 Cappucino

3/8*16 = 6 Americano

this forces, 4 mochas

4/16 = 1/4 are mochas

1/4 + 1/8 + 3/8 + 1/4 = 2/8 + 1/8 + 3/8 + 2/8 = 1

4 latte

2 cappucino

6 americano

4 mochas

-------------

16 coffee drinks total