II.

4. I have in mind a certain number. If this number is diminished by $8$ and the remainder multiplied by $8$, the result is the same as if the number was diminished by $6$ and the remainder multiplied by $6$. What is the number?

5. I have five times as many half-dollars as quarters, and the half-dollars and quarters amount to $$11$. How many of each have I?

6. A man pays a debt of $$91$ with ten-dollar bills and one-dollar bills, paying three times as many one-dollar bills as ten-dollar bills. How many bills of each kind does he pay?

7. A father is four times as old as his son, but $4$ years hence he will be only three times as old as his son. How old is each?

8. A workman was employed for $24$ days. For every day he worked he was to receive $$1.50$, and for every day he was idle he was to pay $$0.50$ for his board. At the end of the time he received $$28$. How many days did he work?

Exercise 14.

1. A boy has $4$ hours at his disposal. How far can he ride into the country at the rate of $9$ miles an hour and walk back at the rate of $3$ miles an hour, if he returns just on time?

Let $x=$the number of hours he rides.

Then $4-x=$the number he walks.

2. A has $$180$, and B has $$80$. How much must A give B in order that six times B's money shall be equal to $7$ times A's?

3. A grocer has two kinds of tea, one kind worth $45$ cents a pound, and the other worth $65$ cents a pound. How many pounds of each kind must he take to make $80$ pounds, worth $50$ cents a pound?

4. A tank holding $1200$ gallons has three pipes. The first lets in $8$ gallons a minute, the second $10$ gallons, and the third $12$ gallons a minute. In how many minutes will the tank be filled?

5. The fore and hind wheels of a carriage are $10$ feet and $12$ feet respectively in circumference. How many feet will the carriage have passed over when the fore wheel has made $250$ revolutions more than the hind wheel?

6. Divide a yard of tape into two parts so that one part shall be $6$ inches longer than the other part.

7. A boy bought $7$ dozen oranges for $$1.50$. For a part he paid $20$ cents a dozen; and for the remainder, $25$ cents a dozen. How many dozen of each kind did he buy?

8. How can a bill of $$3.30$ be paid in quarters and ten-cent pieces so as to pay three times as many ten-cent pieces as quarters?