Sonia has two packages of hamburger meat. the first package weighs 1.76 pounds and the second package weighs 2.29 pounds. she mixes the two packages together and forms hamburgers that weigh 0.25 pound each. what is the greatest number of 0.25-pound hamburgers sonia can make using the hamburger meat she has?

16

Step-by-step explanation:

Given data

The total mass of meat is the sum of the meat from both packages.

1.76 lb + 2.29 lb = 4.05 lb

If we divide the total amount of meat by the amount of meat per hamburger, we will find the number of hamburgers.

4.05 lb / (0.25 lb/ hamburger) = 16 hamburger

Sonia can prepare 16 hamburgers.

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.