The grocery store employs 35 cashiers and grocery baggers altogether. There are 5 cashiers for every 2 grocery baggers. How many of each are employed?
number of cashiers --- 5x
number of baggers --- 2x , notice 5x:2x = 5:2
solve 5x + 2x = 35
First, list the multiples of both numbers:
5,10,15,20,25 (match them up.)
2,4, 6, 8, 10
10 and 25 adds up to 35, so the answer is 25 cashiers and 10 baggers
To determine the number of cashiers and grocery baggers employed, we can set up a system of equations based on the given information.
Let's assume the number of cashiers is represented by 'C' and the number of grocery baggers is represented by 'B'.
According to the given information, there are 5 cashiers for every 2 grocery baggers, so we can write the equation:
C = 5B
Furthermore, we know that the total number of employees (cashiers and grocery baggers) is 35:
C + B = 35
Now we can solve this system of equations to find the values of C and B.
Substitute the value of C from the first equation into the second equation:
5B + B = 35
Combine like terms:
6B = 35
Divide both sides by 6:
B = 35/6
B ≈ 5.83
Since we cannot have a fraction of a person, the number of grocery baggers must be a whole number. From the information given, we can assume that we have 5 grocery baggers.
Now substitute the value of B into the first equation:
C = 5 * 5
C = 25
So, there are 25 cashiers and 5 grocery baggers employed at the grocery store.