Question

Jennifer used 2/7 of meter of ribbon to make bows for the her cousins. Now she has 10/21 of meter of ribbon left

Answer 1

Answer with explanation:

Amount of Ribbon used by Jennifer to make bows for the her cousins
`=(2)/(7)` of meter

Amount of Ribbon Left
`=(10)/(21)`

Let Total amount of Ribbon Possessed by Jennifer = x meter

Writing the above statement in terms of equation

`(2x)/(7)+(10)/(21)=x\\\\x-(2x)/(7)=(10)/(21)\\\\(5x)/(7)=(10)/(21)\\\\ x=(10 * 7)/(5 * 21)\\\\ x=(2)/(3)`

Total Ribbon Possessed by
`=(2)/(3)` meter

Answer 2

Jennifer used : 2/7.

Remaining length of the ribbon = 10/21.

Total length of the ribbon in starting = Length of used ribbon + Remaining length of the ribbon .

Therefore,

Total length of the ribbon in starting = 2/7 +10/21

`(2)/(7)+(10)/(21)`

`\mathrm{Least\:Common\:Multiplier\:of\:}7,\:21:\quad 21`

`\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}`

`(2)/(7)=(2\cdot \:3)/(7\cdot \:3)=(6)/(21)`

`=(6)/(21)+(10)/(21)`

`=(16)/(21)`

Therefore, Jennifer start with 16/21 meter of ribbon.