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1 April, 10:55

Sarah is buying plants and soil for her garden! The soil Sarah wants costs $3.50 per bag, and the plants she wants are $8 each. Sarah can buy at most 20 items, as this is all she can fit in her car, and she cannot spend more than $150. Let x represents the number of bags of soil and y represents the number of plants:

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  1. 1 April, 11:20
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    x+y ≤20

    3.50 x + 8 y ≤150

    Step-by-step explanation:

    Hi, the rest of the question is:

    How do you write a system of linear inequalities to model the situation?

    So, for the first inequality:

    The sum of the number of soil bags (x) and plants (y) bought must be less or equal to 20.

    x+y ≤20

    For the second inequality:

    The product of the number of soil bags (x) and the price of each bag (3.50); plus the number of plants bought (y) and the price of each plant (8) must be less or equal to 150.

    3.50 x + 8 y ≤150

    In conclusion, the system is:

    x+y ≤20

    3.50 x + 8 y ≤150
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