Question

Eli and Samantha work at a dry cleaners ironing shirts. Eli can iron 20 shirts per hour, and Samantha can iron 35 shirts per hour. Samantha worked 2 more hours than Eli and they ironed 400 shirts between them. Write a system of equations that could be used to determine the number of hours Eli worked and the number of hours Samantha worked. Define the variables that you use to write the system

Answer 1

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of hours Eli worked

y ----> the number of hours Samantha worked

we know that

Eli and they ironed 400 shirts between them

so

$20x+35y=400$ -----> equation A

Samantha worked 2 more hours than Eli

so

$y=x+2$ ----> equation B

solve the system by substitution

substitute equation B in equation A

$20x+35(x+2)=400$

solve for x

$20x+35x+70=400\\55x=330\\x=6$

Find the value of y

substitute the value of x in equation B

$y=6+2=8$

therefore

The number of hours Eli worked was 6 and the number of hours Samantha worked was 8