How to solve mixture word problems?

Example: A restaurant sells large and small sub sandwiches. Rolls for the sandwiches are ordered from a baker. The roll for a large sandwich costs $0.25, and the roll for a small sandwich costs $0.15. Melissa, the manager of the restaurant, ordered 130 more large rolls than small rolls. What is the greatest number of large rolls she received if she spent less than $63?

There are 76 small rolls and 206 large rolls Melissa received.
What is the number system?
A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits , are numbered 0 through 9.
Let x be the number of small rolls .
The number of large rolls is x + 130.
The cost of the small rolls is 0.15x dollars.
The cost of the large rolls is 0.25(x+130) dollars.
Therefore, the total cost is 0.15x + 0.25(x+130) = 0.15x + 0.25x + 32.5 = 0.4x + 32.5 dollars.
To find the greatest number of large rolls Melissa received if she spent less than $63, we need to find the greatest value of x that satisfies 0.4x + 32.5 < 63.
So we can solve this inequality :
0.4x + 32.5 < 63
0.4x < 30.5
x < 76.25
Therefore, the greatest number of small rolls Melissa received is 76.
and the greatest number of large rolls she received is x + 130 = 76 + 130 = 206.
Learn more about the number system here:
brainly.com/question/21751836
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Answered by saimaparvezVT | 2024-06-17

To find the maximum number of large rolls Melissa received, we define small rolls as x and set up the cost equations. After solving the inequality, we find that she has a maximum of 76 small rolls and 206 large rolls. Therefore, the greatest number of large rolls received is 206.
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Answered by saimaparvezVT | 2024-10-16