Question

lexi's bulletin board is 40 centimeters wide. each of her ribbons is 4 centimeters wide, and her photos are 12 centimeters wide. what combination of ribbons and photos will fit side by side with no overlap on Lexi's bulletin board.

Answer 1

Ribbon Photo Ribbon Ribbon Photo Ribbon

I think hope i helped!! Xx

Answer 2

Combination of ribbons and photos will fit side by side with no overlap on Lexi's bulletin board are 27.

Explanation:

Given : Lexi's bulletin board is 40 centimeters wide. Each of her ribbons is 4 centimeters wide, and her photos are 12 centimeters wide.

To find : What combination of ribbons and photos will fit side by side with no overlap on Lexi's bulletin board?

Solution :

Lexi's bulletin board is 40 centimeters wide.

Ribbons is 4 centimeters wide.

Photos are 12 centimeters wide.

Now, The ways 40 divides in 12 and 4 are

1) 7 ribbons- 4 cm and 1 Photo - 12 cm (RRRRRRRP)

i.e,
`7* 4+1* 12=28+12=40`

These were arranged as

`(8!)/(7!* 1!)=(8* 7!)/(7!)=8`

2) 4 ribbons- 4 cm and 2 Photo - 12 cm (RRRRPP)

i.e,
`4* 4+2* 12=16+24=40`

These were arranged as

`(6!)/(4!* 2!)=(6*5* 4!)/(4!* 2* 1)=15`

3) 1 ribbons- 4 cm and 3 Photo - 12 cm (PPPR)

i.e,
`1* 4+3* 12=4+36=40`

These were arranged as

`(4!)/(3!* 1!)=(4* 3!)/(3!* 1)=4`

Total combinations of ribbons and photos are 8+15+4=27.

Therefore, Combination of ribbons and photos will fit side by side with no overlap on Lexi's bulletin board are 27.