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Noor wants to spend less than \$20$20dollar sign, 20 on condiments. Each kilogram of salt costs \$1.50$1.50dollar sign, 1, point, 50, and each kilogram of pepper costs \$2.50$2.50dollar sign, 2, point, 50.

Write an inequality that represents the number of kilograms of salt (S)(S)left parenthesis, S, right parenthesis and pepper (P)(P)left parenthesis, P, right parenthesis Noor can buy on her budget.

User Dimitri T
by
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2 Answers

5 votes

Answer:


\large\boxed{\large\boxed{1.50S + 2.50P<20}}

Step-by-step explanation:

Rewrite the question for better understanding:

  • 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.

Write algebraic expressions:

1) Each kilogram of salt costs $1.50, then S kilograms cost $ 1.50 × S

2) Each kilogram of pepper costs $2.50, then P kilograms cost $ 2.50 × P

3) The total cost of S kilograms of salt and P kilograms of pepper is the sum of the two costs and you can write the expression to represent the total cost as:

  • 1.50S + 2.50P

4) Since Noor wants to spend less than $20, you must write an inequality with the less than symbol (<)

  • 1.50S + 2.50P < 20 ← answer

User JonoB
by
3.3k points
5 votes

Answer:

1.5 S + 2.5 P < 20

Step-by-step explanation:

We are given that each kilogram of salt costs \$1.50$1.50dollar sign, 1, point, 50, and each kilogram of pepper costs \$2.50$2.50dollar sign, 2, point, 50.

How can we express the total cost of the number of kilograms of salt and pepper Noor can buy on her budget?

Hint #22 / 3

The cost of SSS kilograms of salt is 1.5 S, point, 5, S, and the cost of P kilograms of pepper is 2.5 P, point, 5, P. Therefore, the total cost of buying some kilograms of salt and pepper is 1.5 S +2.5 P, point, 5, S, plus, 2, point, 5, P.

We are also given that Noor wants to spend less than \$20 dollar sign, 20 on groceries. Let's use this condition to create the appropriate inequality.

The following inequality represents the number of kilograms of salt and pepper Noor can buy on her budget:

Hint; (S) (P) make sure to write the letters CAPITAL or u would get it wrong if u write small letter s or p. (S) (P)

User Yahiko Kikikoto
by
3.5k points