Short Answer: Tony 40 Cleo 30
Givens
T = Tony
C = Cleo
Equations
1/2 T + 1/3 C = 30 (1)
2/5 T + 1/2 C = 31 (2)
Adjustments
Multiply (1) by 3
Multiply (2) by 2
New Equations
3/2 T + C = 90 (1a)
<u>4/5 T + C = 62</u> (2a) Subtract (2a) from (1a)
(3/2 - 4/5)T = 28 the common multiple of 2 and 5 = 10.
(15/10 - 8/10)T = 28
7/10 T = 28 Multiply by 10
7T = 28*10
7T = 280 Divide by 7
T = 280/7 = 40
Put T = 40 into (1)
1/2 T + 1/3 C = 30
1/2 (40) + 1/3 C = 30
20 + 1/3 C = 30 Subtract 20 from both sides.
1/3 C = 30 - 20
1/3 C = 10 Multiply through by 3
C = 10 * 3
C = 30
Answer:
Cleo has 30 books.
Tony has 40 books.
Check
<em>Use Equation 2</em>
2/5 T + 1/2 C = 31
2/5*40 + 1/2 * 30 = ? 31
16 + 15 =?3`
31 = 31 They are equal.
The perimeter of a rectangle is 2(w+l)
We can find the lengths by setting the equation equal to 12.
12=2(w+l)
12÷2=(2(w+l))÷2
6=w+l
6=1+5
6=2+4
6=3+3
These are the lengths of the sides of three rectangles with a perimeter of 12 units.
You're probably wondering why the third one has two of the same number, because that's usually how the lengths of sides of squares are, not rectangles.
Well, there's this wonderful thing about the rules of shapes.
<em>Squares ARE rectangles.
</em>Because they follow the rules for a rectangle, squares are also classified as rectangles.
So, the rectangle side lengths are as follows:
1 unit by 5 units
2 units by 4 units
3 units by 3 units
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Answer:
2
Step-by-step explanation:
Answer:
15/4
Step-by-step explanation:
This is a proportion question
It says 1/2 crates of apple are used for every 3/4 crates of oranges
For 5/2 crates of apple, x crates of oranges will be needed.
To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2
This means: 0.5x = 0.75 × 2.5
x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75
Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.
Answer:
1.
40 students chose papa johns and 24 did not
2. 14 students chose dominos and 10 chose pizza hut
Step-by-step explanation:
1. set up a proportion like 5/8 x x/64 and cross mutliply like 8 times x and 5 times 64
