# Problem of the Week

Problem A and Solution

Better Value?

## Problem

Skyla wants to buy a new outfit. She wants new jeans, a t-shirt, a
coat, and a hat. She searches the store flyers and finds the exact same
clothing options at three different stores.

*Noether’s Nook* has the jeans for \(\$59\), the t-shirt on sale for \(\$15\), the coat for

\(\$82\), and the hat for \(\$16\).

*Gauss Garb* has the exact same jeans for \(\$42\), the t-shirt for \(\$27\), the coat for \(\$76\), and the hat for \(\$19\).

*Hypatia’s Hidden Gems* has the jeans for \(\$51\), the t-shirt for \(\$23\), the coat for

\(\$94\), and the hat on sale for \(\$14\).

Skyla’s grandparents want to send her a store gift card for her
birthday to cover the exact cost of her outfit. Which store’s gift card
would you recommend for Skyla’s grandparents to purchase?

## Solution

Let’s calculate the total cost of the items at each store:

*Noether’s Nook*: \(59 + 15 + 82
+ 16 = \$172\)

*Gauss Garb*: \(42 + 27 + 76 +
19 = \$164\)

*Hypatia’s Hidden Gems*: \(51 +
23 + 94 + 14 = \$182\)

We notice that the least amount they would have to pay is \(\$164\). Therefore, if they want to pay the
least amount of money, then the gift card should be purchased from
*Gauss Garb*.