## Key to Dodd's Algebra: Containing All the Problems, and the More Difficult Equations, in that Work. With Their Solutions: Designed to Facilitate the Labor of Teachers |

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### Common terms and phrases

A's share acres adding similar terms breadth bushels capital cent Clearing this Equation common difference Completing the square contain Converting cost Developing difference distance Dividing dollars easily found Equation of fractions Equation will give Extracting the square feet figure Find the values found equal gain greater half hence increased less Let x represent mean minute months Multiplying number of days number of hours number of miles paid persons piece pounds problem progression proportion purchased quantity ratio of percentage received reducing remainder represent A's represent the greater represent the sum represents the amount represents the distance represents the interest represents the number second Equation shillings sold square rods square root Squaring both sides Substituting these values Substituting this value Subtracting third Equation Transposing traveled twice uniting similar terms value of x whence whole yards

### Popular passages

Page 156 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.

Page 143 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take, to catch the hare?

Page 13 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from, home, it lasted the woman 30 days ; how many days would the man be in drinking it alone ? Ans.

Page 27 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Page 146 - Two persons, A and B, can perform a piece of work in 16 days. They work together for four days, when A being called off, B is left to finish it, which he does in 36 days. In what time would each do it separately?

Page 172 - Geese, which were proceeding at the rate of 3 miles in 2 hours, he afterwards met a stage wagon, which was moving at the rate of 9 miles in 4 hours. B overtook the same drove of Geese at the 45th mile stone, and met the same stage wagon exactly forty minutes before he came to the 31st mile stone. Where was B when A reached London 1 Solution.

Page 31 - Two pedestrians start from the same point; the first steps twice as far as the second, but the second makes 5 steps while the first makes but one. At the end of a certain time they are 300 feet apart. Now, allowing each of the longer paces to be 3 feet, how far will each have travelled?

Page 152 - There were 22 sailors to every three guns, and 10 over ; also, the whole number of hands was five times the number of soldiers and guns together. But after an engagement, in which the slain were* one-fourth of the survivors, there wanted 5 men to mako 13 men to every two guns: required, the number of guns, soldiers and sailors.

Page 22 - To divide the number 36 into three such parts that ~ of the first, ^ of the second, and } of the third may be all equal to each other ? Ans.

Page 59 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.