Mathematics, 03.02.2020 23:41 Bryson2148

There are 80 major sources of pollen in state a. these pollen sources are categorized as grasses, weeds, and trees. if the number of weeds is 7 less than thrice the number of grasses, and the number of trees is 3 more than thrice the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources.

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Answer from: Shavaila18

Grasses: 12

Weeds: 29

Trees: 39

Step-by-step explanation:

Let G, W and T represent number of grasses, weeds, and trees that are major pollen sources.

We have been given that there are 80 major sources of pollen in state A. We can represent this information in an equation as:

G+W+T=80...(1)

We are told that the number of weeds is 7 less than thrice the number of grasses. We can represent this information in an equation as:

W=3G-7...(2)

We are also told that the number of trees is 3 more than thrice the number of grasses. We can represent this information in an equation as:

T=3G+3...(3)

Upon substituting equation (2) and equation (3) in equation (1), we will get:

G+3G-7+3G+3=80

7G-4=80

7G-4+4=80+4

7G=84

$\frac{7G}{7}=\frac{84}{7}$

G=12

Therefore, there are 12 grasses that are major pollen sources.

Number of weeds that are major pollen sources:

$W=3G-7\Rightarrow 3(12)-7=36-7=29$

Therefore, there are 29 weeds that are major pollen sources.

Number of trees that are major pollen sources:

$T=3G+3\Rightarrow 3(12)+3=36+3=39$

Therefore, there are 39 trees that are major pollen sources.

Answer from: hardyfombu

Grasses: 12

Weeds: 29

Trees: 39

Step-by-step explanation:

Let G, W and T represent number of grasses, weeds, and trees that are major pollen sources.

We have been given that there are 80 major sources of pollen in state A. We can represent this information in an equation as:

We are told that the number of weeds is 7 less than thrice the number of grasses. We can represent this information in an equation as:

We are also told that the number of trees is 3 more than thrice the number of grasses. We can represent this information in an equation as:

Upon substituting equation (2) and equation (3) in equation (1), we will get:

Therefore, there are 12 grasses that are major pollen sources.

Number of weeds that are major pollen sources:

Therefore, there are 29 weeds that are major pollen sources.

Number of trees that are major pollen sources:

Therefore, there are 39 trees that are major pollen sources.

Step-by-step explanation:

Answer from: Quest

the answer is y < -3 or y > 3

-3y > 7 + 2

-3 y > 9

y < -3

Answer from: Quest

i think it is 18

step-by-step explanation:

If y varies directly as x, and y is 180b when x is n when x is 5, what is the value of n?

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There are 80 major sources of pollen in state a. these pollen sources are categorized as grasses, we...