Shaniece has a loyalty card good for a 5% discount at her local hardware store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is 28.40? Round to the nearest cent.

Solution

S hani ece ha s a l oy a lt y c a r d g oo d f or a 5% d i sco u n t a t h er l oc a l ha r d w a re s t ore . Wha t w o u l d h er 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 s h e w an t s t o b u y i s 28.40 ? R o u n d t o t h e n e a res t ce n t .

Amount after discount : 26.98

Solution steps

Translate the problem into an equation:

x = 28.4 - 0.05 \cdot 28.4

x = 28.4 - 0.05 \cdot 28.4 : x = 26.98

Amount after discount : 26.98