Balancing of Equation

Q.

Two people invested Rs 15000 and 25000 respectively to start a business. They decided to share the profits in the ratio of their investments. If their profit is Rs 12000. How much they each get?

Q. In the 1st figure, the left hand side (LHS) and the right hand side (RHS) of the weighing machine are equal to each other. If we add 2 on the RHS, the balance looks like figure 2. What should we do to equalize LHS and RHS again?

Q. Choose the correct statement:

1. 5000- x = 500 is the same as 500 - x = 5000
2. 15x = 25 is the same as $\frac{15x}{15}=\frac{25}{15}$
3. x + 101 = 200 is the same as x + 101 = 200 -101
4. 6x = 48 is the same as 6x = $\frac{48}{6}$

Q. Solve for x:
x + 9.6 = 26.5

1. 36.1
2. 16.9
3. 19.9
4. 16.6

Q. Solve the following equations by performing same operation on both sides:
(i) $8x-2=380$
(ii) $\frac{a}{15}-2=0$
[2 marks]

Q. Solve for y:
$y$ + $4\frac{1}{4}=7$

1. $2\frac{3}{14}$
2. $2\frac{3}{4}$
3. $3\frac{3}{4}$
4. $2\frac{1}{4}$