Algebra (Page 13)

Previous | Next

Let x=number of cents third boy received,
x + 25=number of cents second boy received,
3x + 75=number of cents ¯rst boy received.
x + x + 25 + 3x + 75=600
5x + 100=600
5x=500
x=100
x + 25=125
3x + 75=375

1st boy received $3.75,
2d boy received $1.25,
3d boy received $1.00.

10. Divide the number 23 into three parts, such that the second is 1 more
than the ¯rst, and the third is twice the second.

11. Divide the number 137 into three parts, such that the second shall be 3
more than the ¯rst, and the third ¯ve times the second.

12. Mr. Ames builds three houses. The ¯rst cost $2000 more than the second,
and the third twice as much as the ¯rst. If they all together cost $18,000,
what was the cost of each house?

13. An artist, who had painted three pictures, charged $18 more for the second
than the ¯rst, and three times as much for the third as the second. If he
received $322 for the three, what was the price of each picture?

14. Three men, A, B, and C, invest $47,000 in business. B puts in $500 more
than twice as much as A, and C puts in three times as much as B. How
many dollars does each put into the business?

15. In three lots of land there are 80,750 feet. The second lot contains 250 feet
more than three times as much as the ¯rst lot, and the third lot contains
twice as much as the second. What is the size of each lot?

16. A man leaves by his will $225,000 to be divided as follows: his son to
receive $10,000 less than twice as much as the daughter, and the widow
four times as much as the son. What was the share of each?

17. A man and his two sons picked 25 quarts of berries. The older son picked
5 quarts less than three times as many as the younger son, and the father
picked twice as many as the older son. How many quarts did each pick?

18. Three brothers have 574 stamps. John has 15 less than Henry, and Thomas
has 4 more than John. How many has each?

13

Previous | Next

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: