Guiana and jimmy are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Hi oh sold 10 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $330. Jimmy sold 4 rolls of plain wrapping paper and 14 rolls of holiday paper for a total of $356. What is the cost of each one roll of plain wrapping paper and one roll of holiday wrapping paper?

Respuesta :

Answer:

The answer is "p=25.63 and h= 6.24".

Step-by-step explanation:

p = cost of the plain

h = cost of the holiday

[tex]\to 10p + 7h = 330.........(i)\\\\\to 4p + 14h = 356........(ii)[/tex]

multiply by 2 in equation (i) and subtract from the equation (ii):

[tex]\to 20p + 14h = 660\\\\\to 9p + 14h = 378\\\\subtract\\\to 11 \ p =\ 282 \\\\\to p = \frac{282}{11}\\\\\to p = \$ \ 25.63[/tex]

put the value of p in equation (i):

[tex]\to 10(25.63)+7h=330\\\\\to 256.3+7h=330\\\\\to 7h=330 - 256.3\\\\\to 7h=330 - 256.3\\\\\to 7h= 43.7\\\\\to h= \frac{43.7}{7}\\\\\to h=6.24[/tex]

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