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# please help

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Some friends went to the local movie theater and bought four large buckets of popcorn and six boxes of candy. The total for the snacks was $46.50. The last time you were at the theater, you bought large bucket of popcorn and a box of candy, and the total was$9.75. How much would 2 large boxes of popcorn and 3 boxes of candy cost?

Jan 23, 2020

### 1+0 Answers

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Some friends went to the local movie theater and bought four large buckets of popcorn and six boxes of candy. The total for the snacks was $46.50. The last time you were at the theater, you bought large bucket of popcorn and a box of candy, and the total was$9.75. How much would 2 large boxes of popcorn and 3 boxes of candy cost?

Einige Freunde gingen ins örtliche Kino und kauften vier große Eimer Popcorn und sechs Schachteln Süßigkeiten. Die Summe für die Imbisse war \$ 46.50. Als Sie das letzte Mal im Theater waren, haben Sie einen großen Eimer Popcorn und eine Schachtel Süßigkeiten gekauft, und die Summe betrug 9,75 USD. Was kosten 2 große Eimer Popcorn und 3 Schachteln Süßigkeiten?

Hello Guest!

The price of a bucket is x.
The price of a box is y.

$$4x+6y=\ 46.50\\ x+y=\ 9.75$$

$$x=\ 9.75-y\\ 4(\ 9.75-y)+6y=\ 46.50\\ 2y=\ 46.50-4\times \ 9.75\\ \color{blue}y=\ 3.75\\ x=\ 9.75-\ 3.75\\ \color{blue}x=\ 6.00$$

$$Two\ large\ buckets\ of\ popcorn\ cost\ \ 12.00.\\ Three\ boxes\ of\ candy\ cost\ \ 11.25.$$

!

Jan 24, 2020