Question

Set up equations and solve them to find the unknown numbers in the following cases:

a) Add 4 to eight times a number; you get 60.
b) One-fifth of a number minus 4 gives 3.
c) If I take three-fourths of a number and add 3 to it, I get 21.
d) When I subtracted 11 from twice a number, the result was 15.
e) Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.
f) Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.
g) Anwar thinks of a number. If he takes away 7 from 5/2 of the number, the result is 23.

Answer 1

To solve the given equations, set up the equations based on the given information and solve for the unknown numbers.

Step-by-step explanation:

To solve the given equations, we need to set up the equations based on the given information and then solve them to find the unknown numbers.

a) Let the number be x. The equation will be: 8x + 4 = 60. Solving this equation gives x = 7.

b) Let the number be x. The equation will be: (1/5)x - 4 = 3. Solving this equation gives x = 35.

c) Let the number be x. The equation will be: (3/4)x + 3 = 21. Solving this equation gives x = 24.

d) Let the number be x. The equation will be: 2x - 11 = 15. Solving this equation gives x = 13.

e) Let the number of notebooks be x. The equation will be: 50 - 3x = 8. Solving this equation gives x = 14.

f) Let the number be x. The equation will be: (x + 19)/5 = 8. Multiplying both sides by 5 gives x + 19 = 40. Solving this equation gives x = 21.

g) Let the number be x. The equation will be: (5/2)x - 7 = 23. Solving this equation gives x = 10.