+145 Andrew and Caden had some stamps in the ratio 6:8. Andrew gave a quarter of his stamps to Caden. Caden then had 280 stamps more than Andrew. How many stamps did they have altogether?
+106 We can wrte down 2 equations for this then use substitution to solve it.
\(6a=8c\)
\(\frac{3}{4}a+280=c+\frac{1}{4}a\)
\(\frac{3}{4}a=c\)
\(c+280=c+\frac{1}{4}a\)
\(\frac{1}{4}a=280\)
\(a=1120\)
\(\frac{3}{4}(1120)=c\)
\(c=840\)
Let's double check:
\(6(1120)=8(840)\)
\(6720=6720\)
\(\frac{3}{4}(1120)+280=840+\frac{1}{4}(1120)\)
\(840+280=840+280\)
\(1120=1120\)
So both equations are true, therefore, Andrew has 1120 stamps and Caden has 840 stamps.
