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Jasmine owns a local gym. The gym sells passes for the use of their weight room and swimming pool. The passes for the weight room are $4.00 per day. The passes for the swimming pool are $3.50 per day. In one month, Chelsea spent $53.50 and went to the gym 14 times. How many times did Chelsea go to the weight room and to the swimming pool? Times Chelsea went to the weight room =
Times Chelsea went to the swimming pool =

Sagot :

Answer:

1,507.964

Step-by-step explanation:

don’t take my word on it tho, not for sure but saw someone else’s question about this ans that was the answer to it.

Answer:

Times Chelsea went to the weight room = 9

Times Chelsea went to the swimming pool = 5

Step-by-step explanation:

[tex]let \: w \: = \: amount \: of \: passes \: for \: weight \: room \\ let \: s \: = \: amount \: of \: passes \: for \: swimming \: pool \\ \\ 14 = w + s \\ 53.50 = 4w + 3.5s[/tex]

Now combine the equations to find one variable.

[tex]w = - s + 14 \\ 53.50 = 4( - s + 14) + 3.5s \\ 53.50 = - 4s + 56 + 3.5s \\ - 2.50 = - .5s \\ s = 5[/tex]

Find the next variable using the previously solved variable.

[tex]w = - 5 + 14 \\ w = 9[/tex]