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Jocelyn is pregnant and needs to eat at least 360 more calories a day than usual. When buying groceries one day with a budget of $11.25 for extra food, she buys bananas that have 50 calories each and granola bars that have 90 calories each. The bananas cost $0.75 each and the granola bars cost $2.25 each.Write a system of 2 inequalities to model this situation. Use "x" for the number of bananas and "y" for the number of granola bars.

Jocelyn Is Pregnant And Needs To Eat At Least 360 More Calories A Day Than Usual When Buying Groceries One Day With A Budget Of 1125 For Extra Food She Buys Ban class=

Sagot :

Answer:

[tex]\begin{gathered} 50x\text{ + 90y}\ge\text{ 360} \\ 0.75x\text{ + 2.25y}\leq11.25 \end{gathered}[/tex]

Explanation:

Here, we want to write a system of inequalities

From the given question:

She needs at least 360 calories

The bananas have 50 calories each and we have x number to be bought

That is a total of 50 * x = 50x calories from bananas

The granola bars have 90 calories each, so for y number of granola, we have a total of y * 90 = 90y calories

She needs at least 360 calories more

Mathematically, that means:

[tex]50x\text{ + 90y }\ge360[/tex]

Now, the bananas cost $0.75 each and the granola cost $2.25 each

for x bananas, we have 0.75 * x = $0.75x cost

For the granola, we have a cost of $2.25 each for them and that is a total of 2.25 * y = $2.25y

The budget values cannot be exceeded, so we have:

[tex]0.75x\text{ + 2.25y }\leq\text{ 11.25}[/tex]

Thus, the system of inequalities would be:

[tex]\begin{gathered} 50x\text{ + 90y}\ge360 \\ 0.75x\text{ + 2.25y}\leq11.25 \end{gathered}[/tex]

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