Write division expression for each of the following verbal phrase :
1. One fourth of three times a number.
2. One fifth of sum of three times a number and nine.
3. One seventh of three less than four times a number.
4. One fourth of three times the difference between a number and six.
5. Sum of five times of a number and three is divided by four.
6. Nine less than seven times of a number is divided by five.
7. Jacob get x dollars salary and $500 incentive. He divides the total money to three of his friends evenly. Find the share of each friend.
8. This year, David gets 3 times of profit in the last year plus $2500 in his business. He divides the total profit of this year to his five children evenly. Find the share of each child.
1. Answer :
One fourth of three times a number
Let x be the number.
Three times the number :
3x
One fourth of three times a number :
2. Answer :
One fifth of sum of three times a number and 9
Let x be the number.
Three times the number :
= 3x
Sum of three times the number and 9 :
= 3x + 9
One fifth of sum of three times the number and 9 :
3. Answer :
One seventh of 3 less than four times a number
Let x be the number.
Four times the number :
= 4x
3 less than four times the number :
= 4x - 3
One seventh of 3 less than four times the number :
4. Answer :
One fourth of three times the difference between a number and 6
Let x be the number.
Difference between the number and 6 :
= x - 6
Three times the difference between the number and 6 :
= 3(x - 6)
One fourth of three times the difference between the number and 6 :
5. Answer :
Sum of five times a number and 3 is divided by 4
Let x be the number.
Five times the number :
= 5x
Sum of five times the number and 3 :
= 5x + 3
Sum of five times the number and 3 is divided by 4 :
6. Answer :
9 less than seven times a number is divided by 5
Let x be the number.
Seven times the number :
= 7x
9 less than seven times the number
= 7x - 9
9 less than seven times the number is divided by 5 :
7. Answer :
Jacob get x dollars salary and $500 incentive. He divides the total money to three of his friends evenly. Find the share of each friend.
Answer :
Total money received by Jacob :
= x + 500
He divides the total money to three of his friends evenly.
Then, the share of each person is
8. Answer :
This year, David gets three times the profit of last year plus $2500 in his business. He divides the total profit of this year to his five children evenly. Find the share of each child.
Answer :
Let x be the profit in the last year.
Total profit of this year :
= 3x + 2500
He divides the total profit to his 5 children evenly.
Then, the share of each child is
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