Question

at a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 13. when 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 16. how many cooks does the restaurant have?

Answer 1

Following are the options:

A. 4

B. 6

C. 9

D. 12

E. 15

The ratio of cooks to waiters is 3x:13x, where xx is the unknown multiplier.

3x13x+12=3163x13x+12=316

9x=369x=36

x=4x=4

if x(4)x(4) then 3∗4 = 12

Answer 2

Answer:12

Step-by-step explanation:

Lets cooks be C and waiters be W

Given C to W ie,,,C:W = 3:13........(1)

When 12 more waiters are hired ie,,

W+12(hired)

Ratio of C to W becomes 3:16

How many cooks are there ?

There fore 3C:13W+13(hired) :3:16

Cross Multiply 3C*16:16*13W+16*13

48C =39W+36,,,(lets take C&W as X )

48X-39X =36,,,,,X=4

Now ,Cooks are 3C from (1)

3*4 =12 .