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Posted by **gary** on Monday, July 8, 2013 at 11:15pm.

2. Five less than seven times a certain number is 58.Find the number.

3. The sum of 1/2 a certain number and 1/3 of the same number is 30. Find the number.

- math -
**Jai**, Monday, July 8, 2013 at 11:25pm#1.

First, we represent the unknown using variables.

Let x = Ed's age

Let 59 - x = father's age (since according to the first statement, the sum of their ages is 59)

Then we setup the equation. According to the second statement,

Father's age = 4*(Ed's age) - 11

In variables,

59 - x = 4x - 11

59 + 11 = 4x + x

70 = 5x

(5x)/5 = (70)/5

x = 14 years old [Ed's age]

#2.

Represent the unknown with a variable.

Let x = number

Then setup the equation using the given conditions.

7x - 5 = 58

Solving for x,

7x = 58 + 5

7x = 63

x = 9

#3.

Represent the unknown with a variable.

Let x = number

Setup the equation:

(1/2)x + (1/3)x = 30

Solve for x. (Recall how to add fractions too)

(3/6)x + (2/6)x = 30

[(5/6)x]*(6/5) = 30*6/5

x = 36

Hope this helps~ :)

- math -
**gary**, Monday, July 8, 2013 at 11:26pm4. The perimeter of a tgriangle is 44 inches. If one side is 5 inches longer than the smallest side and the largest side is 1 inch less than twice the smallest side, how many inches are there in the smallest side?

- math -
**Jai**, Monday, July 8, 2013 at 11:32pm#4.

Represent the unknowns with a variable.

Let x = smallest side

Let x + 5 = larger side (according to the 2nd statement)

Let 2x - 1 = largest side (according to the 2nd statement)

Then setup the equation. Recall that the perimeter of a triangle is just the sum of the lengths of its sides:

x + x + 5 + 2x - 1 = 44

Now solve for x. Units in inches.

Hope this helps~ :)

- math -
**gary**, Monday, July 8, 2013 at 11:37pmthank you for help

- math -
**gary**, Tuesday, July 9, 2013 at 12:01amI have two more question, I hope you can help me.

1. A hotel has 120 rooms. If the number of double room is 8 more than three times the number of single rooms, how many single rooms does the hotel have?

2. A mechanic earns $5 more per hour than his helper. On a six-hour job the two men earn a total of $114. how much does each earn per hour?

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