Roman may buy 23 tomato and 9 radish, for the school garden.
<h3><u>Calculation:</u></h3>
Let (r) represent the cost of one packet of radish seeds, and
Let (t) represent the cost of one packet of tomato seeds.
Amount spent by roman = $62.75
It denotes that;
![\ 1.75r +2.5t = 62.75.......equn. 1](https://tex.z-dn.net/?f=%5C%201.75r%20%2B2.5t%20%3D%2062.75.......equn.%201)
Roman bought 32 packets of seeds and one packet of radish seeds costs = $ 1.75.
One packet of tomato seeds costs = $ 2.50.
It denotes that,
![\ r+t=32.....equn.2](https://tex.z-dn.net/?f=%5C%20r%2Bt%3D32.....equn.2)
Substitute t=9 , and r= 23, we have
In eq. 1
![\ = 1.75\times9 + 2.5\times23 = 62.75\\ = 15.75+57.5 \neq 62.75 \\ = 62.75 = 62.75](https://tex.z-dn.net/?f=%5C%20%3D%201.75%5Ctimes9%20%2B%202.5%5Ctimes23%20%3D%2062.75%5C%5C%20%3D%2015.75%2B57.5%20%5Cneq%20%2062.75%20%5C%5C%20%3D%2062.75%20%3D%2062.75)
In eq.2
![\ =32=23+9 = 32\\](https://tex.z-dn.net/?f=%5C%20%3D32%3D23%2B9%20%3D%2032%5C%5C%20)
Here, both the equations are satisfied, therefore, option [C] is correct.
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