SOLUTION: A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon and 2 rolls of the satin ribbon and has a total of 120 yards of ribbon. Another customer buys

Algebra.Com
Question 1171828: A fabric store sells two types of ribbon. One customer buys 3 rolls of the lace ribbon and 2 rolls of the satin ribbon and has a total of 120 yards of ribbon. Another customer buys 2 rolls of the lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon.
How many yards are on one roll of lace ribbon and one roll of satin ribbon?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

    3x + 2y = 120   (1)

    2x + 4y = 160   (2)



Divide eq(2) by 2 (both sides). Keep equation (1) as is.  You will get

    3x + 2y = 120   (1')

     x + 2y =  80   (2')


Now subtract eq(2') from eq(1').  You will get

    2x      = 120 - 80 = 40

     x =               = 40/2 = 20.


Then from equation (2'),  

    20 + 2y = 80

         2y = 80 - 20 = 60

          y            = 60/2 = 30.


ANSWER.   20 yards in the lace ribbon roll and 30 yards in the satin ribbon roll.

Solved.


RELATED QUESTIONS

You are wrapping boxes for a fund-raiser. You have 80 large boxes. You need 2 3/4 feet of (answered by Cromlix)
BINOMIAL THEOREM If 3 yards of ribbon and 2 yards of lace cost $3.37, and, at the... (answered by ikleyn)
A toy Company has designed a new dress for one of it's dolls. each dress requires 3/4... (answered by Edwin McCravy)
A decorator bought a spool with 300 yards of satin ribbon and plants to cut the ribbon... (answered by solver91311)
ribbon A is 1/3m long. it is 2/5m shorter than ribbon b. what is the total length of the... (answered by dkppathak)
A yellow ribbon is 56 cm long it is twice as long as a green ribbon a brown ribbon is... (answered by ikleyn)
Ribbon A is 1/3m long. It is 2/5m shorter than ribbon B. What's the total length of the... (answered by Theo)
Emily has a yellow ribbon that is 5 feet long and an orange ribbon that is 13 1/2 feet... (answered by solver91311)
The ratio of the length of ribbon c to the length of ribbon d is 3:1. A length of 6 cm is (answered by josgarithmetic)