Word Problems on Substitution Method

Q. A family is travelling in metro. $3$ adults and $2$ children tickets cost $\$30$, $2$ adults and $3$ children tickets cost $\$25$. Find the costs of each adult and childrens ticket by substitution method.

1. Cost of an adult ticket is $\$5$
2. Cost of a child ticket is $\$3$
3. Cost of an adult ticket is $\$8$
4. Cost of a child ticket is $\$5$

Q. Choose the following:
The cost of two tables and three chairs is $\$600.$ If the table costs $\$50$ more than the chair. Find the cost of each chair and table.

1. $\$100$ and $\$150$
2. $\$150$ and $\$165$
3. $\$125$ and $\$165$
4. $\$165$ and $\$100$

Q. Sarah's father invests $\$12,000$ in interest-bearing accounts, some part at $3.2$% and the remaining at $2.6$%. Total investment profit (interest) for the year is $\$369$. At $2.6\%$ rate of interest, how much money did Sarah's father put in?

1. $\$9500$
2. $\$8500$
3. $\$2500$

Q. When the length of rectangle is reduced by 6 feet and breadth is increase by 4 feet, then the area of a rectangle gets reduced by 10 $f{t}^2$. If we increase the length by 5 feet and breadth by 4 feet, the area is increased by 60 $f{t}^2$. Find the length and breadth of the rectangle.

1. Length $=\frac{155}{22}\text{ft}$ ; Breadth $=\frac{26}{11}\text{ft}$
2. Length $=\frac{26}{11}\text{ft}$ ; Breadth $=\frac{155}{22}\text{ft}$
3. Length $=\frac{18}{11}\text{ft}$ ; Breadth $=\frac{185}{11}\text{ft}$
4. Length $=\frac{180}{11}\text{ft}$ ; Breadth $=\frac{40}{11}\text{ft}$