Question

Roman buys seed packets for the school garden. One packet of radish seeds costs $1. 75. One packet of tomato seeds costs $2. 50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62. 75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. Number of Seed Packets r t r t = 32 1. 75 r 2. 50 t = 62. 75 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish.

Answer 1

Roman may buy 23 tomato and 9 radish,  for the school garden.

 

Calculation:

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;

$\ 1.75r +2.5t = 62.75.......equn. 1$

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,

$\ r+t=32.....equn.2$

Substitute t=9 , and r= 23, we have

In eq. 1

$\ = 1.75\times9 + 2.5\times23 = 62.75\\ = 15.75+57.5 \neq 62.75 \\ = 62.75 = 62.75$

In eq.2

$\ =32=23+9 = 32$

Here, both the equations are satisfied, therefore, option [C] is correct.

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