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Karo-lina-s [1.5K]
3 years ago
13

A.) pinky bought 1 1/2 kg of apples and 5 1/4 kg of mangoes and 1 1/2 Kg of oranges. Find the total weight of fruits B.) If her

family eats 3/4 Kg of apples and 2 1/2 kg of mangoes and 1/2 Kg of oranges. Find the weight of the fruits left (Can any one say the answer please with explanation if who say the answer first I will mark them as the brainliest)
Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

a) The total weight of fruits is 8\,\frac{1}{4} kilograms, b) The weight of the fruits left is 4\,\frac{1}{2} kilograms.

Step-by-step explanation:

a) The total weight of fruits (m_{T}) is calculated by the following formula:

m_{T} = m_{a} + m_{m}+m_{o}

Where:

m_{a} - Total weight of apples, measured in kilograms.

m_{m} - Total weight of mangoes, measured in kilograms.

m_{o} - Total weight of oranges, measured in kilograms.

If m_{a} = 1\,\frac{1}{2} \,kg, m_{m} = 5\,\frac{1}{4}\,kg and m_{o} = 1\,\frac{1}{2}\,kg, then:

m_{T} = 1\,\frac{1}{2}\,kg + 5\,\frac{1}{4}\,kg + 1\,\frac{1}{2}\,kg

m_{T} = \frac{6}{4}\,kg + \frac{21}{4}\,kg + \frac{6}{4}\,kg

m_{T} = \frac{33}{4}\,kg

m_{T} = 8\,\frac{1}{4}\,kg

The total weight of fruits is 8\,\frac{1}{4} kilograms.

b) The weight eaten by her family is determined by the following expression:

m_{E} = m_{a,e} + m_{m,e} + m_{o,e}

Where:

m_{a,e} - Eaten weight of apples, measured in kilograms.

m_{m,e} - Eaten weight of mangoes, measured in kilograms.

m_{o,e} - Eaten weight of oranges, measured in kilograms.

Given that m_{a,e} = \frac{3}{4}\,kg, m_{m,e} = 2\,\frac{1}{2}\,kg and m_{o,e} = \frac{1}{2}\,kg, the weight eaten by her family is:

m_{E} = \frac{3}{4}\,kg + 2\,\frac{1}{2}\,kg + \frac{1}{2}\,kg

m_{E} = \frac{3}{4}\,kg + \frac{10}{4}\,kg + \frac{2}{4}\,kg

m_{E} = \frac{15}{4}\,kg

m_{E} = 3\,\frac{3}{4}\,kg

The weight of the fruits left is found by subtraction:

m_{R} = m_{T}-m_{E}

m_{R} = 8\,\frac{1}{4} \,kg -3\,\frac{3}{4}\,kg

m_{R} = \frac{33}{4}\,kg-\frac{15}{4}\,kg

m_{R} = \frac{18}{4}\,kg

m_{R} = 4 \,\frac{1}{2}\,kg

The weight of the fruits left is 4\,\frac{1}{2} kilograms.

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