A hair salon receives a shipment of 84 bottles of hair conditioner to use and sell to customers. The two types are labeled type A and type B. Type A costs $6.50 per bottle and type B costs $8.25 per bottle. The hair salon's invoice is $588. How many of each type of conditioner are in the shipment?

x − b o tll e A y − b o ttl e B { 6 , 5 x + 8 , 25 y = 588 x + y = 84 ​ { 6 , 5 x + 8 , 25 y = 588 x = 84 − y ​ S u b s t i t u t i o n m e t h o d 6 , 5 ( 84 − y ) + 8 , 25 y = 588 546 − 6 , 5 y + 8 , 25 y = 588 ∣ s u b t r a c t 5461 , 75 y = 42 ∥ d i v i d e b y 1 , 75 y = 24 T h ere w ere 24 b o ttl es B an d 42 b o ttl e A .

Answered by luana | 2024-06-10

Answered by Bhumip | 2024-06-15

The shipment consists of 60 bottles of type A conditioner and 24 bottles of type B conditioner. This was determined by solving a system of equations based on the total number of bottles and their combined cost. The algebraic approach used substitution to find the values of each type of bottle.
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Answered by luana | 2024-09-03