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Chapter 3: Q. 206 (page 353)

Laurie was completing the treasurer鈥檚 report for

her son鈥檚 Boy Scout troop at the end of the school year.

She didn鈥檛 remember how many boys had paid the \(15

full-year registration fee and how many had paid the

\)10 partial-year fee. She knew that the number of boys

who paid for a full-year was ten more than the number

who paid for a partial-year. If $250 was collected for all

the registrations, how many boys had paid the full-year

fee and how many had paid the partial-year fee?

Short Answer

Expert verified

The boys who paid partial fee is 4 and full fee is 14.

Step by step solution

01

step 1.Given information

Let the number of boys for partial-year registration is x.

The number of boys for full-year is tens more than the number of boys for partial-year is localid="1647229246388" 10+x.

02

step 2. The table formation

typenumbervaluetotal value
partial-year feex$1010x
full-year10+x
$1515(10+x)
03

step 3.The equation formation

The total collected is $250.

10x+150+15x=25025x+150=25025x=250-15025x=100x=10025x=4

04

step 4.The solution

The boys who paid partial fee is 4 and full fee is 14.

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