An 8-inch long submarine sandwich is cut into 2 pieces whose lengths are in the ratio of 7 to 5. How long is the shorter piece? SHOW YOUR WORK

ok so since the ratio is 7:5 that means you have an 8'' sandwich with 12 (7+5) separate units. imagine drawing the sandwich and dividing it into 12 sections.

so 8/12= .6666666 (thats the length of 1 unit)
now take .6666666 x 7 units = 4.6666666 inches '' (thats the bigger half)now take .6666666 x 5 units = 3.333333333 inches (thats the shorter half)

you'll notice that 4.66666666'' + 3.3333333" = 8''

Answer Link

shubhamsinha3013 shubhamsinha3013 · Answer 2 · 2022-05-24T16:07:47+02:00

The length of the shorter piece of the submarine sandwich is 4.66 inches.

Ratio

A ratio expresses the number of times one number appears in another.

How to find the length of the shorter piece?

Given submarine sandwich length is 8-inch long.

It is divided into two pieces, each with a length ratio of 7:5.

Let the longer piece length is x and the shorter piece length be y then,

[tex]\dfrac{x}{y} =\dfrac{7}{5}\\y=\dfrac{5x}{7}...(1)[/tex]

The total length of the submarine sandwich is 8-inch long then,

x+y =8

From equation (1)-

[tex]\dfrac{5x}{7} +x=8\\5x + 7x = 56\\12y =56y = 4.66[/tex]

Hence, the length of the shorter piece is 4.66 inches.

Learn more about ratio here- https://brainly.com/question/13419413

#SPJ2