The ratio of the number of apples Nicole and Hannah had was 1:3. When Nicole bought 4 more apple and Hannah bought 3 more apples, the ratios became 1:2. Find the number of applles Hannah had in the end.
+37084 origianlly nicole had 1 /(1+3) = 1/4 th and hannah had 3/4 ths
then n added 4 and h added 3 to cause n to have 1/3 and h to have 2/3
1/4 x = n
1/4 x + 4 = 1/3 ( x + 4 + 3)
x = original amount of apples = 20 then hannah (at the end) had 3/4 th 0f 20 PLUS 3 = 18 apples
+129840 N / H = 1 / 3 ⇒ N = (1/3) H (1)
(N + 4) / ( H + 3) = 1/2 (2)
Sub (1) into (2)
(1/3)H + 4 1
_________ = ____ cross-multiply
H + 3 2
2 [ (1/3)H + 4 ] = H + 3
(2/3)H + 8 = H + 3
8 - 3 = H - (2/3) H
5 = ( 1/3)H
3 * 5 = H = 15 = what Hannah started with
H + 3 = 18 = what Hannah ended with
