Even integers have the form 2k so three consecutive even integers will be 2k,2(k+1),2(k+2)
so there sum will be
2k+2(k+1)+2(k+2)=24
simplifying
2k+2k+2+2k+4=24
adding like terms
6k+6=24
6k=18
k=3
so the three consecutive even integers are
2(3),2(3+1),2(3+2)
6,8,10
Answer:
please the answer is the third option
Answer:
Cost of Hats = $15
Cost of Scarves = $8
Step-by-step explanation:
Let
Cost of Hats = x
Cost of Scarves = y
5x + 3y = 99 (1)
3x + 5y = 85 (2)
Multiply (1) by 5 and (2) by 3
25x + 15y = 495
9x + 15y = 255
Subtract
25x - 9x = 495 - 255
16x = 240
Divide both sides by 16
x = 240 / 16
= 15
x = $15
Substitute x = 15 into
5x + 3y = 99
5(15) + 3y = 99
75 + 3y = 99
3y = 99 - 75
3y = 24
y = 24/3
= 8
y = 8
Cost of Hats = $15
Cost of Scarves = $8
