You make use of the given relationships to write an equation only involving "a".
... a = (sum of three numbers) × (1 + 0.25) . . . . a is 25% more than the sum of three numbers.
Then
... (sum of three numbers) = a/1.25 = 0.8a
The sum of the three numbers and a is given as 783.
... sum of 4 numbers = (sum of three numbers) + a
... 783 = 0.8a + a = 1.8a
... 783/1.8 = a = 435
The appropriate selection is (B) 435.
Solution:
The interior angles of a triangle sum up to 180°
<u>This means that...</u>
<u>Simplify the distributive property.</u>
<u>Combine like terms.</u>
- 3x + (6 + 52 + 35) = 180
- => 3x + (93) = 180
<u>Subtract 93 both sides.</u>
- 3x + (93) = 180
- => 3x + 93 - 93 = 180 - 93
<u>Simplify both sides.</u>
<u>Divide 3 both sides.</u>
- => 3x/3 = 87/3
- => x = 87/3 = 29
65/3=21 with 2 leftover
(2/3)/3 or 2/3•1/3 = 2/9
so either they didn’t get to share or each got 2/9 of the leftovers
