+0  
 
0
113
3
avatar

Caden, Brandon, and Perry had a total of 103 erasers. The ratio of the number of erasers Brandon had to the number of erasers Perry had was 4:5. After Caden and Brandon gave 1/2 of their eraser, the 3 kids had 79 erasers left. How many erasers did Brandon and Perry have in the end?

 Jun 11, 2023
 #1
avatar+15058 
+1

How many erasers did Brandon and Perry have in the end?

 

Hello Guest!

 

c+b+p=103b:p=4:5c2+b2+p=79p=5b4c+b+5b4=103c2+b2+5b4=79

c+b+5b2=158158b5b2=103b5b455=5b25b455=5b4b=44Brandon has 44 erasers at the beginning.b:p=4:5p=5b4=5444p=55Perry has 55 erasers at the beginning.

c=1034455c=4Caden has 4 erasers at the beginning.Brandon and Caden gave up half of their erasers.bb2+p=44442+55=77

77 erasers did Brandon and Perry have in the end.

laugh  !

 Jun 11, 2023
edited by asinus  Jun 11, 2023
edited by asinus  Jun 12, 2023
 #2
avatar
+1

C + B + P==103, 

B/P ==4/5, 

[C - 1/2C + B - 1/2B + P]==79, solve for B, C, P

 

Use substitution to get:

B==44 erasers - what Brandon started with

C ==4 erasers - what Caden started with

P ==55 erasers - what Perry started with.

 

44 - (44/2) ==22 erasers - Brandon had in the end.

55 - 0 ==55 erasers - what Perry had in the end.

22 + 55==77 total erasers of Brandon and Perry at the end.

 

4 - (4/2) ==2 erasers - what Caden had in the end.

 

Check: 22 + 55 + 2 ==79 total of all erasers at the end. 

 Jun 11, 2023
edited by Guest  Jun 11, 2023
 #3
avatar+15058 
+1

Thank you Guest #2! I corrected my answer.

laugh  !

asinus  Jun 12, 2023

1 Online Users