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Chapter 2: Q. 255 (page 164)

Hilda has \(210 worth of \)10 and \(12 stock shares. The number of \)10 shares is five more than twice the number of $12 shares. How many of each type of share does she have?

Short Answer

Expert verified

The number of $10share and $12share are15and5.

Step by step solution

01

Given information

Julie went to the post office and bought both $0.41 stamps and $0.26 postcards. She spent $51.40. The number of stamps was 20 more than twice the number of postcards.

02

Determine the linear equation

Let the number of $10be xand $12be y.

The number of $10shares is 5 more than twice the number of $12shares.

So, x=5+2y

The worth of the sum of $10share and $12share is $210.

Represent the sum in terms of xand yas:

10x+12y=210

03

Determine the number of $12 share.

Substitute 5+2yfor xin 10x+12y=210.

105+2y+12y=21050+20y+12y=21032y=160y=16032=5

04

Determine the number of $10 share.

Substitute 5for yin x=5+2y.

x=5+25=15

05

Write the conclusion

Therefore, the number of$10share and$12share are15and5.

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