Question

The local college's bookstore sells collegiate t-shirts, hoodies, and hats. During their Family Visit Day Sale, the bookstore made a $119 sale consisting of three t-shirts, a hoodie, and a hat; a $76 sale consisting of two t-shirts and two hats; and a $265 sale consisting of 5 t-shirts, 3 hoodies, and 2 hats. Calculate the price on one hoodie.

Answer 1

Answer:75

Explanation:

119=3shirt+hoodie+hat
76=2shirt+2hat → 38=shirt+hat → shirt=38-hat

265=5shirt+3hoodie+2hat

119=3shirt+hoodie+hat → 119=3(38-hat)+hoodie+hat → 119=144-2hat+hoodie → hat=(hoodie+25)/2

265=5shirt+3hoodie+2hat → 265=5(38-hat)+3hoodie+2(hoodie+25)/2 → 265=190-5hat+3hoodie+hoodie+25 → 50=4hoodie-5hat → 50=4hoodie-5(hoodie+25)/2 → 50=4hoodie-2.5hoodie-62.5 → 112.5=1.5hoodie → hoodie=75