Question

Diego bought some raisins and walnuts to make trailmix. Raisins cost $4 a pound and walnuts cost $8 apound.Diego spent $24 on both ingredients. Diego bought atotal of 5 pounds of raisins and walnuts combined.There are two constraints represented here (COST &WEIGHT).Write an equation for each constraint. This shouldcreate a system of linear equations.Let x = pounds of raisinsy = pounds of walnuts

Answer 1

Let x = pounds of raisins

Let y = pounds of walnuts

The first linear equation for the system is representing COST

`\text{ \$4x + \$8y = \$24}`

The second linear equation for the system is representing WEIGHT

`x\text{ + y = 5}`

Hence the two-equation for each constraint are

`\begin{gathered} \text{\$4x + \$8y = \$24} \\ x\text{ + y = 5} \\ \end{gathered}`