Subjects algebra

Applications Count C4Cf1C

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Marko originally filled out 8 more applications than Henry. After each filled out 3 more applications, the total number of applications filled out by both is 28. 2. **Define variables:** Let $m$ = number of applications Marko originally filled out. Let $h$ = number of applications Henry originally filled out. 3. **Write the first equation from the relationship:** Since Marko filled out 8 more than Henry: $$m=h+8$$ 4. **Write the second equation for the total after adding 3 applications each:** Marko's new total: $m+3$ Henry's new total: $h+3$ Their combined total is 28: $$ (m+3)+(h+3)=28 $$ 5. **Simplify the second equation:** $$ m+h+6=28 $$ $$ m+h=22 $$ 6. **Substitute $m=h+8$ into $m+h=22$:** $$ (h+8)+h=22 $$ $$ 2h+8=22 $$ 7. **Solve for $h$:** $$ 2h=22-8 $$ $$ 2h=14 $$ $$ h=\frac{14}{2} $$ $$ h=7 $$ 8. **Find $m$ using $m=h+8$:** $$ m=7+8 $$ $$ m=15 $$ **Final answers:** Marko originally filled out $15$ applications. Henry originally filled out $7$ applications.