Question

It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.

Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

Write an inequality that represents the condition based on the number of grams of pasta.

Write an inequality that represents the condition based on the number of milliliters of sauce.

Answer 1

It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

$250S +600L > 4000$

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

$240S +700L > 5000$

Answer :

The two equations are :

For pasta: $250S +600L > 4000$

For sauce: $240S +700L > 5000$

Answer 2

250S +600L > 4000 . . . . condition based on grams of pasta

240S +700L > 5000 . . . . condition based on mL of sauce