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Joe buys chocolate to give as gifts. He needs at least 169 chocolates. Dark chocolate comes in boxes of 24 pieces and milk chocolate comes in boxes of 20 pieces. If he purchases 3 boxes of dark chocolates, what is the fewest number of boxes of milk chocolate he will need?

Respuesta :

MrRoyal

Answer:

4 boxes

Step-by-step explanation:

Given

Represent Dark Chocolate with D and Milk Chocolate with M

[tex]D = 24[/tex] pieces

[tex]M = 20[/tex] pieces

[tex]Total = 169[/tex]

First, we need to determine the quantities in e boxes of dark chocolate.

[tex]Quantity = 24 * 3[/tex]

[tex]Quantity = 72[/tex]

Subtract this quantity from the total; This gives the quantities of milk chocolate

[tex]Milk\ Chocolate = 169 - 72[/tex]

[tex]Milk\ Chocolate = 97[/tex] pieces

Lastly, divide this by the 20 pieces (of milk chocolate) to get the number of boxes.

[tex]Boxes = 97/20[/tex]

[tex]Boxes = 4.85[/tex]

Since, we're getting the fewer boxes, we have to round down

[tex]Boxes = 4[/tex]

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