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

Sagot :

[tex]4p+6c=46.50\\1p+1c=9.75\\4p+4c=39.00\\\\4p+6c=46.50\\4p+4c=39.00\\2c=7.5\\c=3.75\\p+(3.75)=9.75\\p=6.00\\\\2p+3c\\2(6)+3(3.75)\\12+11.25\\23.25[/tex]

$23.25