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Noor wants to spend less than
$20 on condiments. Each kilogram of salt costs
$1.50, and each kilogram of pepper costs
$2.50.
Write an inequality that represents the number of kilograms of salt
(S) and pepper
(P) Noor can buy on her budget.

Noor wants to spend less than $(20$ on condiments. Each kilogram of salt costs $)1.50$ , and each kilogram of pepper costs $\$2.50$ . Write an inequality that represents the number of kilograms of salt $S$ and pepper $P$ Noor can buy on her budget.

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Modeling with linear inequalities

Full solution

Q. Noor wants to spend less than

(20

on condiments. Each kilogram of salt costs

)1.50

, and each kilogram of pepper costs

\$2.50

. Write an inequality that represents the number of kilograms of salt

S

and pepper

P

Noor can buy on her budget.

Calculate Costs: Determine the cost for each kilogram of salt and pepper. $\newline$ The cost of each kilogram of salt $S$ is $\$1.50$ , and the cost of each kilogram of pepper $P$ is $\$2.50$ .
Set up Inequality: Set up the inequality to represent the total cost of salt and pepper. The total cost for $S$ kilograms of salt and $P$ kilograms of pepper would be $1.50S + 2.50P$ .
Formulate Condition: Since Noor wants to spend less than $\$$ $20$ , the inequality will be: $\newline$ 1.50S + 2.50P < 20 $\newline$ This inequality represents the condition that the total cost of $S$ kilograms of salt and $P$ kilograms of pepper must be less than $\$$ $20$ .

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