Set up equations and solve for the unknown numbers in the following cases: a. Add 4 to eight times a number and you get 60. b. One-fifth of a number minus 4 gives 3.
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a. Add 4 to eight times a number and you get 60:
Let x be the unknown number. Then we can write the equation as:
8x + 4 = 60
Subtracting 4 from both sides:
8x = 56
Dividing both sides by 8:
x = 7
Therefore, the unknown number is 7.
b. One-fifth of a number minus 4 gives 3:
Let x be the unknown number. Then we can write the equation as:
(1/5)x – 4 = 3
Adding 4 to both sides:
(1/5)x = 7
Multiplying both sides by 5:
x = 35
Therefore, the unknown number is 35.