Problem 1 :
When we multiply a number by 4, we get 124. Find the number.
Solution :
Let x be the number.
Then,
4x = 124
Divide each side by 4.
x = 31
So, the number is 31.
Problem 2 :
When we divide a number by 7, we get 14. Find the number.
Solution :
Let x be the number.
Then,
x / 7 = 14
Multiply each side by 7.
x = 98
Problem 3 :
Alex borrowed some money from Jose. After 3 years, Alex returned 2 times of borrowed money to Jose. If the returned money is $226, how much money did Alex borrow from Jose ?
Solution :
Let x be the borrowed money.
Then,
2x = 226
Divide each side by 2.
x = 113
So, the borrowed money is $113.
Problem 4 :
David had some money. He gave one fourth of the money to Lily. If Lily had received $8 from David, how much money did David have initially ?
Solution :
Let x be the money that David had initially.
Then,
x/4 = 32
Multiply each side by 4.
x = 128
So, David had $128 initially.
Problem 5 :
In a deposit, invested money will become 4 times itself in 5 years. If Rosy receives $3280 after five years, how much money did Rosy invest ?
Solution :
Let x be the money that Rosy invested.
Then,
4x = 3280
Divide each side by 4.
x = 820
So, Rosy invested $820.
Problem 6 :
Jacob has some number of candies and Michael has 35 candies. If Michael has candies 5 times as Jacob, how many candies does Jacob have ?
Solution :
Let x be the number of candies that Jacob has.
Then,
5x = 35
Divide each side by 5.
x = 7
So, Jacob has 7 candies.
Problem 7 :
Daniel had some hot dogs and he gave one third of the hot dogs to Alex. If Alex gets 8 hot dogs from Daniel, how many hot dogs did have initially ?
Solution :
Let x be the number of hot dogs that Daniel had initially.
Then,
x/3 = 8
x = 24
So, Daniel had 24 hot dogs initially.
Problem 8 :
Between the hours of 10 P.M. and 6 A.M., the temperature decreases an average of of a degree per hour. How long, in hours and minutes, will it take for the temperature to decrease by 5 °F ?
Solution :
Write an equation. Let x represent the number of hours it takes for the temperature to decrease by 5 °F.
(-3/4)x = -5
-3x/4 = -5
Solve the equation using an inverse operation.
Multiply each side by - 4/3.
x = 20/3
x = 6 2/3
It takes 6 2/3 hours.
Convert the fraction of an hour to minutes.
2/3 hours x 60 min / 1 hr = 40 minutes
It takes 6 hours and 40 minutes for the temperature to decrease by 5 °F.
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