Fraction word problems

Question

Mike is ordering coffee drinks for a 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 total?

Answer 1

N is the total.

(1/4) N ordered Latte

(1/8) N ordered cappuccino

3/5 of the remaining is Americano..., which is also 6.

(3/5) ( 1 - 1/4 - 1/8) N order Americano, which is 6

(3/5)( 8/8-2/8-1/8) N = 6

(3/5)(5/8)N = 6

(3/8)N = 6

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

1/4*16 = 4 ordered latte

1/8 * 16 = 2 cappuccino

so 10 remain.

3/5*10 = 30/5 = 6 ordered Americano

16 - (4+2+6) = 16 - 12 = 4 ordered Moca