Jorge is asked to build a box in the shape of a rectangular prism. Its height will be 2 cm more than its width. The sum of the l
1 answer:
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Answer:
The number of adults tickets is 80 and the number of students tickets is 30
Step-by-step explanation:
Given as :
The tickets price for adults = $6.00
The tickets price for students = $4.50
Total number tickets were sold = 110
Total Price of 110 tickets = $615.00
Now,
Let The number of adults tickets sold = A
The number of students tickets sold = S
So, according to question
A + S = 110
And 6 A + 4.5 S = 615
Or, 6 A + 6 S = 660 .....1
6 A + 4.5 S = 615 ......2
Solving the equations
( 6 A + 6 S ) - ( 6 A + 4.5 S ) = 660 - 615
Or, ( 6 A - 6 A ) ( 6 S - 4.5 S ) = 45
or, ( 6 S - 4.5 S ) = 45
or, 1.5 S = 45
∴ S =
I,e S = 30
Put the value of S in eq 1
So, 6 A + 6 × 30 = 660
Or, 6 A = 660 - 180
Or 6 A = 480
∴ A =
I.e A = 80
Hence The number of adults tickets is 80 and the number of students tickets is 30 . Answer
Answer:
Step-by-step explanation:
From the problem we know that 12% of Lisa's original weight is 21 pounds. Let's call Lisa's original weight x and rewrite what we know from the question in terms of x.
We can convert 12% into a decimal - 0.12. We can also recognize that the word "of" used in a word problem often means you need to multiply. So, we can multiply 0.12 by x because we know 12% of Lisa's original weight.
0.12x = 21
To solve this equation, we need to isolate x, so we can divide both sides by 0.12.
x = 175. ==> Lisa's original weight was 175 pounds.
If you don't have a calculator or would like to learn another way to solve this problem, you can use proportions.
We know that 12% of x is 12, so what is 100% of x? (this is another way to rewrite the question)
We can contine to rewrite this by writing
We can write this because we know that the ration of 12% to 21 pounds is going to be the same ratio of 100% to Lisa's entire body weight.
We can multiple by both sides of the equation by , which is equal to 1 so it won't change the value of the equation, to remove the denominators. Then, we'll end up with:
12x = 100*21
12x = 2100
x = 175