8x - amount of boys
7x- amount of girls
8x + 7x = 195
15x= 195 ( divide by 15)
x= 13
8x = 8 x 13 = 104
7x = 7 x 13= 91
there are 104 boys, and 91 girls.
9514 1404 393
Answer:
Step-by-step explanation:
The equations need to match the problem statements. If we let C and S represent the costs of Cherry and Sweet potato pies, respectively, then the revenue from each sale can be expressed as an equation.
1 cherry and 7 sweet potato for $114 ⇒ C +7S = 114
14 sweet potato and 11 cherry for $309 ⇒ 11C +14S = 309
Note that we have used C and S in the second equation in the same order as they appeared in the first equation, even though the problem statement has that order reversed. This facilitates solving the equations using elimination or Cramer's rule.
These equations match Option 4.
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The cost of a cherry pie can be found by eliminating S from the equations. We can do that by subtracting twice the first equation from the second:
(11C +14S) -2(C +7S) = (309) -2(114)
9C = 81 . . . . . simplify
C = 9 . . . . . . . divide by 9
The cost of each cherry pie is $9.
To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
$11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter C.
Answer:
54 is the sum of 11 and Raj's age. Use variable "r" to represent Raj's age
