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.

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marvineetesh3 marvineetesh3 · Answer 1 · 2022-01-21T11:11:26+01:00

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

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;

[tex]\ 1.75r +2.5t = 62.75.......equn. 1[/tex]

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,

[tex]\ r+t=32.....equn.2[/tex]

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

In eq. 1

[tex]\ = 1.75\times9 + 2.5\times23 = 62.75\\ = 15.75+57.5 \neq 62.75 \\ = 62.75 = 62.75[/tex]

In eq.2

[tex]\ =32=23+9 = 32\\ [/tex]

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

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