Michael uses a blend of dark chocolate and milk chocolate to make that ice cream topping at his restaurant he needs to buy 100 kg of chocolate in total for his next order dark chocolate cost $12 per kilogram milk chocolate cost $10 per kilogram and he wants to spend $1120 total let d be the number of kilograms of dark chocolate he buys and m the number of kilograms of milk chocolate he buys what is an equation that represents the situation?
Answers
Given : Michael uses a blend of dark chocolate and milk chocolate to make that ice cream topping at his restaurant .
To find : an equation that represents the situation
Solution:
number of kilograms of dark chocolate bought = d kg
dark chocolate cost = $12 per kg
Cost of Dark chocolate = 12d $
number of kilograms of Milk chocolate bought = m kg
Milk chocolate cost = $10 per kg
Cost of Milk chocolate = 10m $
Total Cost = 12d + 10m $
Total Cost = $ 1120
=> 12d + 10m = 1120
Total Chocolate bought = 100 kg
=> d + m = 100
12d + 10m = 1120
d + m = 100
equation that represents the situation
12d + 10m = 1120
10d + 10m = 1000
=> 2d = 120
=> d = 60
& m = 40
Dark chocolate = 60 kg & Milk Chocolate = 40 kg
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