Question

Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bought 9 items. How many of each item did Ms. Day end up buying?

Answer 1

Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let $x$ denotes number of blankets and $y$ denotes number of pillows.

Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.

$16x+10y=120$

Divide this equation by 2.

$8x+5y=60\,\,...(i)$

Ms. Day bought 9 items.

$x+y=9$

Multiply this equation by 5.

$5x+5y=45\,\,...(ii)$

Subtract $(ii)$ from $(i)$

$3x=15\\x=5$

Put $x=5$ in $x+y=9$

$5+y=9\\y=9-5\\y=4$

Therefore,

Ms. Day bought 5 blankets and 4 pillows.