Translation problems. Just set up equation please!

Question

1. The sum of three numbers is 69. The first number is one less than the second number. The third number is seven more than the second number.
2. The first number is two less than the second number. Eight less than twice the second number is three times the first number.
3. Four times the sum of a number and five is 14 less than six times the number.
4. Fifteen more than three times a number subtracted from seven is three less than the difference between nine and five times the number.
5. Twice the difference between fifteen and a number subtracted from the sum of four times the number and five is equal to eleven.
6. Rowena makes decorative shirts which use 5/7 ounces of beads for each skirt. She has 8 4/7 oz. of beads. How many shirts can she decorate?

Answer 1

I'll do: 1. The sum of three numbers is 69. The first number is one less than the second number. The third number is seven more than the second number. 

 

LET X = SECOND NUMBER...THEN THE FIRST NUMBER HAS TO BE X-1. AND THE THIRD NUMBER =X+7.

 

Their sum:  x-1  +  x  +  x+7  = 69.    Can you finish this?

 

The others all require similar effort to CHOOSE AN UNKNOWN and represents the others in terms of that unknown.

 

Go for it!