### Home > CC3 > Chapter 9 > Lesson 9.2.4 > Problem9-111

9-111.

Howie and Steve are making cookies for themselves and some friends. The recipe they are using will make $48$ cookies, but they only want to make $16$ cookies. They have no trouble reducing the amounts of flour and sugar, but the original recipe calls for $1\frac { 3 } { 4 }$ cups of butter. Help Howie and Steve determine how much butter they need.

$\text{Per 48 cookies there needs to be } 1\frac{3}{4}\; \text{cups of butter.}$

Set up a proportion.

$\frac{48\; \text{cookies}}{1\frac{3}{4}\; \text{cups of butter}}=\frac{16\; \text{cookies}}{{\it x}\; \text{cups of butter}}$

Solve for $x$. Changing the mixed number to a fraction greater than one may be helpful.

$\frac{7}{12}\; \text{cups}$