Carrots cost 75 cents per kilogram and potatoes cost 70 cents per kilogram. a shopper bought 9 kg of the vegetables for $6.60. how many kilograms of each did the shopper buy?

Let us assume that the weight of carrots is "X" kilogram

Since the total weight is 9 kilograms, the weight of potatoes should be "9-X" kilograms.

The cost of "X" kilograms of carrot at $0.75/kilogram is calculated as = 0.75*X = 0.75X

The cost of "9-X" kilograms of potatoes at $0.70/kilogram is calculated as  0.70*(9-X)

We know that the total cost is $6.60

We now frame the equation as:

0.75X + (9-X)*0.70 = 6.60

0.75X + 6.30 -0.70X = 6.60

0.05X = 0.30

X = 0.30/0.05 = 30/5 = 6

Therefore weight of carrots = 6 Kilograms and

Weight of potatoes = 9-6 = 3 Kilograms

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