Answer:
Sally sold 13 ring pops and 21 cookies.
Step-by-step explanation:
Given:
Total items Sold =34
Let number of ring pops be x
and Number of cookies be y
Hence we can say that:
[tex]x+y=34 \ \ \ \ equation \ 1[/tex]
Also Given:
Cost of ring pops = $0.50
Cost of Cookies = $0.75
Total money she made = $22.25
Now Total Money she made is the sum of Number of ring pops multiplied by cost of ring pops and number of cookies multiplied with Cost of cookies.
Hence framing in equation form we get;
[tex]0.5x+0.75y = 22.25[/tex]
Multiplying above equation with 2 we get;
[tex]2(0.5x+0.75y)=22.25\times2\\x+1.5y = 44.50 \ \ \ \ equation\ 2[/tex]
Subtracting equation 1 from equation 2 we get;
[tex](x+1.5y)-(x+y)=44.50-34\\x+1.5y-x-y=10.5\\0.5y = 10.5\\y= \frac{10.5}{0.5} = 21[/tex]
Hence Substituting the value of y in equation 1 we get;
[tex]x+y=34\\x+21=34\\x=34-21=13[/tex]
Hence Sally sold 13 ring pops and 21 cookies.
