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A person bought y loaves of bread at 65 shillings each, 3y packets of milk at 50 shillings each, and 2y kg of sugar at 120 shillings each. Find the total amount spent.

Mathematics

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Answers

4 parts
a

65y shillings\text{65y shillings}

b

150y shillings\text{150y shillings}

c

455y shillings\text{455y shillings}

d

(1000 - 455y) shillings\text{(1000 - 455y) shillings}

Step-by-step solution

8 steps

Here are the solutions to the problem:

Part a· 2 steps

Spent on the loaves of bread

  1. Identify the number of loaves and the cost per loaf.

    Number of loaves = yy
    Cost per loaf = 65 shillings

  2. Calculate the total cost for bread.

    Cost for bread=y×65\text{Cost for bread} = y \times 65 Cost for bread=65y shillings\text{Cost for bread} = 65y \text{ shillings}

    The amount spent on the loaves of bread is 65y shillings\boxed{\text{65y shillings}}.

Part b

150y shillings\text{150y shillings}

Spent on the packets of milk

  1. Identify the number of packets of milk and the cost per packet.

    Number of packets of milk = $3y$
    Cost per packet of milk = 50 shillings

  2. Calculate the total cost for milk.

    Cost for milk=3y×50\text{Cost for milk} = 3y \times 50 Cost for milk=150y shillings\text{Cost for milk} = 150y \text{ shillings}

    The amount spent on the packets of milk is 150y shillings\boxed{\text{150y shillings}}.

Part c

455y shillings\text{455y shillings}

Gave the shopkeeper* (This refers to the total cost of all items purchased.)

  1. Calculate the cost for sugar.

    Number of kilograms of sugar = 2y2y
    Cost per kilogram of sugar = 120 shillings

    Cost for sugar=2y×120\text{Cost for sugar} = 2y \times 120 Cost for sugar=240y shillings\text{Cost for sugar} = 240y \text{ shillings}

  2. Calculate the total cost of all items.

    Total cost=Cost for bread+Cost for milk+Cost for sugar\text{Total cost} = \text{Cost for bread} + \text{Cost for milk} + \text{Cost for sugar} Total cost=65y+150y+240y\text{Total cost} = 65y + 150y + 240y Total cost=(65+150+240)y\text{Total cost} = (65 + 150 + 240)y Total cost=455y shillings\text{Total cost} = 455y \text{ shillings}

    The total amount spent (gave the shopkeeper for items) is 455y shillings\boxed{\text{455y shillings}}.

Part d

(1000 - 455y) shillings\text{(1000 - 455y) shillings}

Received as a balance

  1. Identify the amount given to the shopkeeper and the total cost of items.

    Amount given = 1000 shillings
    Total cost of items = $455y$ shillings

  2. Calculate the balance received.

    Balance=Amount given−Total cost\text{Balance} = \text{Amount given} - \text{Total cost} Balance=1000−455y shillings\text{Balance} = 1000 - 455y \text{ shillings}

    The balance received is (1000 - 455y) shillings\boxed{\text{(1000 - 455y) shillings}}.

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