Answer:
b.
Sacramento School has 1650 students
Ronald E School has 1800 students
c.
Apple Pies cost $4 each
Black Berry Pies cost $19 each
Step-by-step explanation:
b.
Let "x" students attend Sacramento School, and
"y" students attend Ronald E. School
It is given that Sacramento School has 150 fewer students than Ronald E School, so we can write:
x + 150 = y
And,
Total number of students in 2 schools is 3450, we can write:
x + y = 3450
We put Equation 1 in Equation 2 and solve for x first:
Now, we know y = x + 150, y = 1650 + 150 = 1800
So, Sacramento School has 1650 students
Ronald E School has 1800 students
c.
Let apple pies cost "x" and blackberry pies cost "y" each
Gabriella sold 10 apples pies and 12 blackberry pies for total 268, so we can write:
10x + 12y = 268
Also,
Mary sold 14 apple pies and 4 blackberry pies for 132, so we can write:
14x + 4y = 132
Let's multiply Equation 2 with -3, to get:
-3 [14x + 4y = 132]
= -42x - 12y = 396
Lets add this equation to equation 1:
10x + 12y = 268
-42x - 12y = -396
------------------------
-32x = -128
x = -128/-32
x = 4
Now, plugging in x = 4 into 1sst equation, we can solve for y:
10x + 12y = 268
10(4) + 12y = 268
40 + 12y = 268
12 y = 228
y = 228/12
y = 19
So,
Apple Pies cost $4 each
Black Berry Pies cost $19 each
There are 46 left-handed students in Tom's school.
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the liketerms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use a proportion to solve the problem:
10 left-handed students out of 85 total students is equivalent to x left-handed students out of 391 total students:
10/85 = x/391
To solve for x, we can cross-multiply:
85x = 10 x 391
Then divide both sides by 85:
x = (10 x 391) / 85
Simplifying the right-hand side gives:
x = 46
Thus,
There are 46 left-handed students in Tom's school.
Learn more about expressions here:
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Time (min) 1 2 3 4 5
A.
400 gallon
B.
600 gallon
C.
800 gallon
D.
2000 gallon