the sum of five consecutive multiples of 7 is 350.
the smallest of these is
a. 28
b. 35
c. 42
d. 56
e. 70

Question

the sum of five consecutive multiples of 7 is 350.
the smallest of these is
a. 28
b. 35
c. 42
d. 56
e. 70

texaschic101 · Answer

x + (x + 7) + (x + 14) + (x + 21) + (x + 28) = 350 -- combine like terms
5x + 70 = 350
5x = 350 - 70
5x = 280
x = 56

x + 7 = 56 + 7 = 63
x + 14 = 56 + 14 = 70
x + 21 = 56 + 21 = 77
x + 28 = 56 + 28 = 84

check..
56 + 63 + 70 + 77 + 84 = 350
350 = 350 (correct)

your lowest number (x) = 56

any questions ?

calculusxy · Answer

i don't have any questions. thanks a lot @texaschic101

texaschic101 · Answer

no problem :)