Question

Kristin received a CD player for her birthday. She bought $3$ CDs and received $5$ others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?

Answer 1

Step 1: Find the total number of CDs Kristin has now

Number of CDs Kristin bought $=3$

Number of CDs Kristin received as gift $=5$

Total number of CDs Kristin has now $=5+\hspace{0.17em}3=8$

Step 2: Find the ratio of CDs Kristin bought

Fraction of CDs Kristin bought $=$ $\frac{\mathrm{Number}\mathrm{of}\mathrm{CDs}\mathrm{kristin}\mathrm{bought}}{\mathrm{Total}\mathrm{CDs}\mathrm{Kristin}\mathrm{has}}$

$\Rightarrow$Fraction of CDs Kristin bought $=$ $\frac{3}{8}$

Step 3: Find the ratio of CDs Kristin received as a gift

Fraction of CDs Kristin received as a gift $=$ $\frac{\mathrm{Number}\mathrm{of}\mathrm{CDs}\mathrm{kristin}\mathrm{got}\mathrm{as}\mathrm{a}\mathrm{gift}}{\mathrm{Total}\mathrm{CDs}\mathrm{Kristin}\mathrm{has}}$

$\Rightarrow$Fraction of CDs Kristin received as a gift $=$ $\frac{5}{8}$

Thus, Kristin bought $\frac{3}{8}$ of the total CDs and received $\frac{5}{8}$of the CDs as gift.