Question

Marko originally filled out 8 more applications than Henry. Then each boy filled out 3 additional applications, bringing the total to 28. How many applications did each boy originally fill out?Let m= number of applications Marko originally filled outLet h= number of applications Henry originally filled outWhat equation can we make to represent the relationship between the number of applications Marko and Henry originally filled out? AnswerUse your relationship from the question above to create an equation representing the number of applications after completing 3 more each: AnswerThe equation we can use to find the number of applications Henry and Marko each completed is :AnswerThe number of applications Marko originally filled out is AnswerThe number of applications Henry originally filled out is Answer

Answer 1

We have the next information

m= number of applicantios Marko originally filled out

h= number of applications Henry originally filled out

We know that Marko originally filled out 8 more applications than Henry

m=h+8

Then each filled out 3 additional applications

m+h+6=28

Already we have a system of equations of two variables

For the question What equation can we make to represent the relationship between the number of applications Marko and Henry originally filled out.

m=h+8

Use your relationship from the equation above to create an equation representing the number of applications after completing 3 more each

(h+8)+h+6=28

The equation we can use to find the number of applications Henry and Marko each completed is

2h+14=28

We can solve the equation above

2h=28-14

2h=14

h=14/2

h=7

m=h+8=15

The number of applications Marko originally filled out is 15

The number of applications Henry originally filled out is 7