Question 1151064
let x be the number of pre-orders and y be the number of regualar orders
:
(1)  x + y = 24
:
(2)  38x +45y = 975
:
solve equation 1 for x and substitute for x in equation 2
:
x = 24 - y
:
38(24 - y) + 45y = 975
:
912 -38y +45y = 975
:
7y = 63
:
y = 9
:
x = 24 - 9 = 15
:
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There are 15 pre-orders and 9 regular orders
:
check answer with equation 2
:
38(15) +45(9) = 975
:
570 +405 = 975
:
975 = 975
:
answer checks
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