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A drugstore sells a piece of face mask at 17.90 pesos. the price of a bottle of 100-ml alcohol is 12.25 pesos more than the price of a piece of face mask, if carla paid 480.50 pesos for the equal number of face masks to the number of bottles of 100-ml alcohol, how many of these items did she buy?

Sagot :

10 pieces FACE MASKS and 10 bottles ALCOHOL

Step-by-step explanation:

[tex]17.90x + (12.25 + 17.90)x = 480.5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 17.90 x + 30.15x = 480.5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 48.05x = 480.5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{480.5}{48.05} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 10[/tex]

Therefore, she bought 10 pieces of face masks and 10 bottles of 100-ml alcohol.