Question

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

Answer 1

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.