Suppose that 11 inches of wire costs 44 cents. At the same rate, how much (in cents) will 28 inches of wire cost?

1 Answer
smendyka
Aug 19, 2017

See a solution process below:

Explanation:

Let's call the amount the 28 inches of wire will cost: #c#

We can then write and solve for #c#:

#(44" cents")/(11" in") = c/(28" in")#

#color(red)(28" in") xx (44" cents")/(11" in") = color(red)(28" in") xx c/(28" in")#

#color(red)(28color(black)(cancel(color(red)(" in")))) xx (44" cents")/(11color(red)(cancel(color(black)(" in")))) = cancel(color(red)(28" in")) xx c/color(red)(cancel(color(black)((28" in"))#

#(28 xx 44" cents")/11 = c#

#(28 xx color(red)(cancel(color(black)(44)))4" cents")/color(red)(cancel(color(black)(11))) = c#

#28 xx 4" cents" = c#

#112 = c#

#c = 112#

28 inches of wire will cost 112 cents.

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