Question

A fabric store sells two types of ribbon. One customer buys 3 rolls of the satin ribbon and had a total of 120 yards of ribbon. Another customer buys 2 rolls of lace ribbon and 4 rolls of the satin ribbon and has a total of 160 yards of ribbon. How many yards are on one rolls and one roll of satin ribbon?

Answer 1

d.there are 20 yards on one roll of lace ribbon and 30 yards on a roll of satin

Explanation:

Answer 2

Let
`x` be the yards in the satin ribbon roll and
`y` the yards in the lace ribbon roll.

Since 3 rolls of the satin ribbon are 120 yards,
`3x=120`. We can solve the equation to get the yards in one satin ribbon roll like follows:

`3x=120`

`x= (120)/(3)`

`x=40`

Now that we know the yards in one roll of satin ribbon, lets find the yards in the lace ribbon one:
Since 2 rolls of lace ribbon and 4 rolls of the satin ribbon are 160 yards,
`2x+4y=160`. But remember that we already know the value of
`x` is 40, so lets replace that in our equation and solve for
`y` to get the yards in one roll of lace ribbon:

`2x+4y=160`

`2(40)+4y=160`

`80+4y=160`

`4y=160-80`

`4y=80`

`y= (80)/(4)`

`y=20`

We can conclude that there are 40 yards in the roll of satin ribbon, and 20 yards in the roll of lace ribbon.