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Zeke and Brandon each receive [tex]\$5[/tex] from their grandmother every Saturday. After 13 weeks, Zeke had a total of [tex]\$13[/tex], and Brandon had [tex]\$55[/tex]. Approximately what percent of his 13-week allowance did Zeke spend?

A. [tex]84\%[/tex]
B. [tex]80\%[/tex]
C. [tex]20\%[/tex]
D. [tex]15\%[/tex]

Answer :

Answer:

B. 80%

Step-by-step explanation:

You want to know the percentage of his $5 weekly allowance that Zeke spent if he ended up with $13 after 13 weeks.

Spending

Zeke's average weekly savings is $13/(13 weeks) = $1/week. That means his spending averages $5 -1 = $4 per week. That represents ...

[tex]\dfrac{\$4}{\$5}=0.80=80\%[/tex]

of his weekly allowance.

Zeke spent approximately 80% of his 13-week allowance.

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Additional comment:

We can also figure this on the basis of the total amounts over 13 weeks. Zeke's allowance totaled $5×13 = $65. His spending totaled $65 -$13 = $52. Then the fraction Zeke spent was $52/$65 = 4/5 = 80%.

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