Question

Brianna has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

Answer 1

Answer: 6 outfits

Step-by-step explanation:

$620 should be greater than the price of the new bicycle + 3 * bicycle reflectors + a pair of bike gloves + unknown number of biking outfits

Therefore, the inequality will be:

620 ≥ 261.04 + 3 × 13.07 + 13.57 + 51.03x

620  ≥ 313.82 + 51.03x

$\text{Solving \ for \ x}$

$620\ge \:313.82+51.03x$

$\mathrm{Switch\:sides}$

$313.82+51.03x\le \:620$

$\mathrm{Multiply\:both\:sides\:by\:}100$

$313.82\cdot \:100+51.03x\cdot \:100\le \:620\cdot \:100$

$\mathrm{Refine}$

$31382+5103x\le \:62000$

$\mathrm{Subtract\:}31382\mathrm{\:from\:both\:sides}$

$31382+5103x-31382\le \:62000-31382$

$\mathrm{Simplify}$

$5103x\le \:30618$

$\mathrm{Divide\:both\:sides\:by\:}5103$

$\frac{5103x}{5103}\le \frac{30618}{5103}$

$\text{Simplify}$

${x\le \:6}$

Therefore, Brianna can buy 6 or fewer outfits while staying within her budget