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A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold than hot beverages.

Respuesta :

If it is multiple choice the answer is b. c = 4h 1.5c + 2h = 360.

Let

c------> number of cold beverages sold

h------> number of hot beverages sold

we know that

[tex] 1.5c+2h=360 [/tex] -------> equation [tex] 1 [/tex]

[tex] c=4h [/tex] -------> equation [tex] 2 [/tex]

Substitute equation [tex] 2 [/tex] in equation [tex] 1 [/tex]

[tex] 1.5*(4h)+2h=360 [/tex]

[tex] 6h+2h=360 [/tex]

[tex] 8h=360 [/tex]

[tex] h=45 [/tex]

Find the value of c

[tex] c=4*45=180 [/tex]

therefore

the answer is

The number of cold beverages is [tex] 180 [/tex]

The number of hot beverages is [tex] 45 [/tex]