Violin and dance lesson

Each week, Nina takes a violin lesson and a dance lesson. The dance lesson costs ⅔ as much as the violin lesson, and the combined cost is $75. Which systems of equations could be used to find d, the cost of the dance lesson in dollars, and v, the cost of the violin lesson in dollars? Find d and v.

Correct answer:

d =  30 USD
v =  45 USD

Step-by-step explanation:

d = 32   v d + v = 75  d+d 23=75  d+d 3/2=75  5d=150  d=5150=30  d=30=30 USD
v=75d=7530=45 USD

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