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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Isabella 3 weeks 2021-09-27T11:10:12+00:00 1 Answer 0

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    2021-09-27T11:11:37+00:00

    Answer:

    The number of tomato plants are 70 and the number of bell pepper plants are 60.

    Step-by-step explanation:

    Given:

    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 $2.00.

    Michelle is counted up enough space in her garden for a total of 130 plans she has $225 to spend.

    Now, to find the number of plants she can purchased for her garden.

    Let the number of tomato plants be x.

    And let the number of bell pepper plants be y.

    So, the total number of plants :

    x+y=130

    y=130-x\ \ \ ......(1)

    Now, the total money she has to spend:

    1.50(x)+2.00(y)=225

    1.5x+2y=225

    Substituting the value of y from equation (1) we get:

    1.5x+2(130-x)=225

    1.5x+260-2x=225

    -0.5x+260=225

    Subtracting both sides by 260 we get:

    -0.5x=-35

    Dividing both sides by -0.5 we get:

    x=70.

    The number of tomato plants = 70.

    Now, substituting the value of x in equation (1):

    y=130-x\\\\y=130-70\\\\y=60.

    The number of bell pepper plants = 60.

    Therefore, the number of tomato plants are 70 and the number of bell pepper plants are 60.

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