## Michelle has an area in her garden for some plants and she wants to plant both tomatoes and bell peppers she can purchase tomato plants for

Question

Michelle has an area in her garden for some plants and she wants to plant both tomatoes and bell peppers she can purchase tomato plants for \$1.50 and she can purchase bell pepper plants were two dollars Michelle is counted up enough space in her garden for a total of 130 plans she has \$225 to spend how many plants can she purchased for her garden

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2 months 2021-09-25T22:58:10+00:00 1 Answer 0 views 0

Michelle purchased 70 tomato plants and 60 bell pepper plants.

Step-by-step explanation:

Lets create a system of equations. Lets substitute x for the amount of tomato plants and y for bell pepper plants.

x+y=130

1.50x+2y=225

Lets use the substitution method.

Isolate y.

y=130-x

Substitute 130-x for y in the second equation.

x1.50+2(130-x)=225

Use the distributive property.

1.50x+260-2x=225

Combine like terms.

-0.5x+260=225

Subtract 260 on both sides.

-0.5x=35 or 0.5x=35

Now divide both sides by -0.5. Remember that dividing by a decimal or fraction actually multiplies by the reciprocal. So 35 divided by 1/2 would equal 35 multiplied by 2/1.

x=70

Substitute x in the equation to solve for y.

1.50(70)+2y=225

Multiply.

105+2y=225

Subtract 105 on both sides.

2y=120

Divide both sides by 2 to isolate y.

y=60

X is equal to 70 and y is equal to 60.

Just to check, substitute our known values for variables.

1.5(70)+2(60)=225

Multiply.

105+120=225.