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katovenus [111]
3 years ago
11

Enrique and Yolanda collected 500 pieces of candy on Halloween. they gave half of their candy to charity. Yolanda took 180 piece

s of the candy and Enrique took the rest . Enrique told his mother he got 64% of the candy what did Enrique do wrong in calculating his parentage.
Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

500 − 250  = 250 pieces left after donation

Yolanda got  180 pieces....then Enrique  got 70 pieces

So he got   70 /250  = 7/25  =  28%  of the remaining candy

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One adult ticket costs £11 and one child ticket costs £8.5

Step-by-step explanation:

Let,

Adult ticket = a

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According to given statement;

3a+4c=67   Eqn 1

5a+6c=106   Eqn 2

Multiplying Eqn 1 by 5;

5(3a+4c=67)\\15a+20c=335\ \ \ Eqn\ 3

Multiplying Eqn 2 by 3;

3(5a+6c=106)\\15a+18c=318\ \ \ Eqn\ 4

Subtracting Eqn 4 from Eqn 3

(15a+20c)-(15a+18c)=335-318\\15a+20c-15a-18c=17\\2c=17\\

Dividing both sides by 2

\frac{2c}{2}=\frac{17}{2}\\c=8.5

Putting c=8.5 in Eqn 1

3a+4(8.5)=67\\3a+34=67\\3a=67-34\\3a=33

Dividing both sides by 3;

\frac{3a}{3}=\frac{33}{3}\\a=11

One adult ticket costs £11 and one child ticket costs £8.5

Keywords: Linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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