Mathematics
Grade10
Easy

Question

Diego scores 11 more points than Travis.  Together they score 21 points.  Find the number of points each person scored.

  1. Diego: 11,   Travis: 10
  2. Diego:  10,  Travis:  11
  3. Diego: 5,  Travis:  16
  4. Diego:  16, Travis:  5

hintHint:

Use the substitution method to obtain the answer.

The correct answer is: Diego:  16, Travis:  5


    L e t space t h e space p o i n t s space s c o r e d space b y space D i a g o space b e space D space a n d space t h e space p o i n t s space s c o r e d space b y space T r a v i s space b e space T.

G i v e n comma
D space equals space T space plus space 11 space space space space space space space space space space space.... open parentheses 1 close parentheses
D space plus space T space equals space 21 space space space space space space space space space space space.... open parentheses 2 close parentheses

T o space f i n d comma
D space a n d space T

H e r e comma space w e space w i l l space u s e space s u b s t i t u t i o n space m e t h o d.
S u b s t i t u t i n g space e q u a t i o n space 1 space i n space e q u a t i o n space 2 comma
T space plus space 11 space plus space T space equals space 21
2 T space equals space 21 space minus space 11
2 T space equals space 10
T space equals space open parentheses 10 over 2 close parentheses
therefore T space equals space 5

S u b s t i t u t i n g space t h e space v a l u e space o f space T space i n space e q u a t i o n space 1 comma
D space equals space T space plus space 11
D space equals space 5 space plus space 11
therefore D space equals space 16

H e n c e comma space t h e space p o i n t s space s c o r e d space b y space D i e g o space i s space 16 space a n d space t h a t space o f space T r a v i s space i s space 5.

    You can also use elimination method to solve the answer.

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