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Let $b$ be the number of backpacks with tent and $w$ be the number of warm hiking clothes they rent. Since they in total rent $16$ items, we can write the first equation as:
$b+w=16.$
We also know that the hikers spend $$256$ to rent equipment from *Norgay High Altitute Hiking*. Additionally, a backpack+tent, $b,$ costs $$25$ and a set of warm hiking clothes, $w,$ costs $$13.$ We can write this as the equation:
$25b+13w=256.$
Combining the equations, we have the following system of equations:
${b+w=1625b+13w=256. $

b

$25b+13w=256$

Substitute$b=16−w$

$25(16−w)+13w=256$

DistrDistribute $25$

$400−25w+13w=256$

AddTermsAdd terms

$400−12w=256$

SubEqn$LHS−400=RHS−400$

$-12w=-144$

DivEqn$LHS/-12=RHS/-12$

$w=12$