Jean Valjean is buying candlesticks and plates for his new French restaurant. He has $60 to spend on plates and candlesticks. Each plate costs $3. Each candlestick costs $6 (it comes with free candles!). Jean needs to buy a total of 15 items. How many plates and how many candlesticks does he buy? Enter the answer as an ordered pair (number of plates, number of candlesticks)

(10, 5)

Step-by-step explanation:

Total money to spend = $60

Cost of each plate = $3

Cost of each candlestick = $6

Let number of plates bought =

Let number of candlesticks bought =

Total number of items to be bought = 15

Therefore, the first equation can be written as:

..... (1)

Total money spent on plates = Number of plates bought Cost of each plate = $3

Total money spent on candlesticks = Number of candlesticks bought Cost of each candlestick = $6

Second equation can be written as:

Dividing both sides with 3:

..... (2)

Subtracting (1) from (2):

From equation (1) :

Number of plates bought = 10

Number of candlesticks bought = 5

Answer as ordered pair is: (10, 5)

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step-by-step explanation: