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]