Home > AC > Chapter 10 > Lesson 10.1.4 > Problem10-41

10-41.

Write and solve an equation (or a system of equations) for the following situation. Be sure to define your variables.

Each morning, Jerry delivers two different newspapers: the Times and the Star. The Times weighs $\frac{1}{2}$ a pound and the Star weighs $\frac{1}{4}$ a pound. If he delivers a total of $27$ newspapers that weigh a total of $11\frac{1}{2}$ pounds, how many Times newspapers does he deliver?

$t + s = 27 \ \ \ \ \ \ \ \ \ t = \# \text{ of Times}$

$\frac{1}{2}t + \frac{1}{4}s = 11\frac{1}{2} \ \ \ s = \# \text{ of Stars}$

Multiply the bottom equation by $−4$ to remove the fractions.
$t+s=27$
$-2t-s=-46$
$-t=-19$
$t=19$