Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for each phone sale and a different fixed commission for each accessory sale. Yesterday Grace sold 18 phones and 21 accessories and made a total commission of $204. Today she sold 6 phones and 14 accessories and made a total commission of $82. Determine the price of each phone and the price of each accessory.
Answers
Answer:
Commissions:
Accessoriy: $2
Phone: $9
Step-by-step explanation:
18p + 21a = 204
6p + 14a = 82
21a = 42
a = 2
p = [82 - 14(2)]/6 = 9
Answer:
commission of each accessory = $2
commission of each phone = $9
Given:
Commission on 18 phones and 21 accessories = $204 commission on 6 phones and 14 accessories = $82.
To find:
the price of each phone and the price of each accessory.
Solution:
let the commission of each phone be P and the accessory be A.
according to the question,
18P + 21A = 204
6P + 7 A = 68 -----i
6P + 14 A = 82 ------ii
by substitution of i in equation ii,
68 - 7A + 14A = 82
7A = 14
A = 2
commission of each accessory = $2
to find the commission on each phone:
6P + 7 x 2 = 68
6P = 54
P= 9
commission of each phone = $9
Hence, the required answers are 2 and 9.
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