QuestionBruno's Burgers has a 2:5 cook to server ratio with 42 total staff. Find how many more servers than cooks are employed.

Studdy Solution

STEP 1

Assumptions1. The ratio of cooks to servers at Bruno's Burgers is to5. . The total number of cooks and servers is42.
3. We need to find out how many more servers Bruno's Burgers employs than cooks.

STEP 2

First, we need to understand that the ratio2 to5 means for every2 cooks, there are5 servers. This gives a total of2 cooks +5 servers =7 employees for each ratio unit.

STEP 3

Now, we can calculate how many ratio units are in the total number of employees. We do this by dividing the total number of employees by the sum of the ratio.
$Ratio\, units = Total\, number\, of\, employees / Sum\, of\, ratio$

STEP 4

Plug in the given values for the total number of employees and the sum of the ratio to calculate the number of ratio units.
$Ratio\, units =42 /7$

STEP 5

Calculate the number of ratio units.
$Ratio\, units =42 /7 =$

STEP 6

Now that we have the number of ratio units, we can find out the number of cooks and servers. We do this by multiplying the number of cooks and servers in one ratio unit by the total number of ratio units.
$Cooks = Ratio\, of\, cooks \\times Ratio\, units$ $Servers = Ratio\, of\, servers \\times Ratio\, units$

STEP 7

Plug in the values for the ratio of cooks, ratio of servers, and the number of ratio units to calculate the number of cooks and servers.
$Cooks =2 \\times6$ $Servers =5 \\times6$

STEP 8

Calculate the number of cooks and servers.
$Cooks =2 \\times6 =12$ $Servers =5 \\times6 =30$

STEP 9

Now that we have the number of cooks and servers, we can find out how many more servers Bruno's Burgers employs than cooks. We do this by subtracting the number of cooks from the number of servers.
$More\, servers = Servers - Cooks$

STEP 10

Plug in the values for the number of servers and cooks to calculate the number of more servers.
$More\, servers =30 -12$

STEP 11

Calculate the number of more servers.
$More\, servers =30 - =18$ Bruno's Burgers employs18 more servers than cooks.

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