Please help me ASAP!!

Also, provide a clear explanation please

THANK YOU!!!

Francesca bought 27 key chains of two different kinds to make goody bags for her birthday party. Supergirl key chains were $3 and Wonder Woman key chains were $2. She spent $73. How many key chains of each kind did she buy?

Respuesta :

Answer: Supergirl = 19 and Wonder Woman = 8

Step-by-step explanation:

Let g represent the quantity of Supergirl keychains and w represent the quantity of Wonder Woman keychains.

                             Qty       Cost

Supergirl                 g         $3g

Wonder Woman     w       $2w

Total                       27       $73

Qty:     g +  w  = 27  →   -2(g +  w  = 27)    →    -2g - 2w = -54

Cost: 3g + 2w = 73  →     1(3g + 2w = 73)  →     3g + 2w =  73

                                                                            g          =  19

Input g = 19 into one of the original equations to solve for w:

 g  + w = 27

(19) + w = 27

         w = 8

She bought 19 supergirl and 8 Wonder Woman keychains. Good luck on the homework
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