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40 POINTS FOR THIS ALGEBRA WORD PROBLEM

40 POINTS FOR THIS ALGEBRA WORD PROBLEM-example-1

2 Answers

6 votes

Answer:

16

Explanation:

User Krossovochkin
by
6.9k points
6 votes

Answer:

9

Explanation:

let the number

=

x

then 4 times the number

=

4

x

and 4 times the number increased by 15

=

4

x

+

15

also 6 times the number

=

6

x

and 3 less than 6 times the number

=

6

x

3

equating the two expressions gives the equation

4

x

+

15

=

6

x

3

solve for x

subtract 6x from both sides

4

x

6

x

+

15

=

6

x

6

x

3

2

x

+

15

=

3

subtract 15 from both sides

2

x

+

15

15

=

3

15

2

x

=

18

divide both sides by

2

2

x

2

=

18

2

x

=

9

As a check

(

4

×

9

)

+

15

=

36

+

15

=

51

(

6

×

9

)

3

=

54

3

=

51

the number is 9

User Jpanganiban
by
7.1k points