Alejandro has a loyalty card good for a 16% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is 31.75? Round to the nearest cent.

Solution

A l e jan d ro ha s a l oy a lt y c a r d g oo d f or a 16% d i sco u n t a t hi s l oc a l p ha r ma cy . Wha t w o u l d hi s t o t a l in d o ll a rs an d ce n t s b e, a f t er t h e d i sco u n t an d b e f ore t a x, i f t h e t o t a l cos t o f a ll t h e i t e m s h e w an t s t o b u y i s 31.75 ? R o u n d t o t h e n e a res t ce n t .

Amount after discount : 26.67

Solution steps

Translate the problem into an equation:

x = 31.75 - 0.16 \cdot 31.75

x = 31.75 - 0.16 \cdot 31.75 : x = 26.67

Amount after discount : 26.67