Answer :
A total of 80 shovels of gravel are needed.
What is Ratio and proportions?
Ratio and proportions are mathematical concepts used to compare two or more quantities. Ratios are simply a comparison between two numbers and are written as a fraction. For example, if a student has 10 apples and 5 oranges, the ratio of apples to oranges can be written as 10:5 or 2:1. Proportions are equations that show two or more ratios are equal. For example, the ratio of apples to oranges can be expressed as a proportion using the fractions 10/5 = 2/1. In this equation, the first fraction is the ratio of apples to oranges, and the second fraction is the ratio of oranges to apples. The two fractions are equal, so the proportions are equal. Ratios and proportions can be used to solve real-world problems, such as determining the amount of ingredients needed to make a cake.
A ratio is defined as the difference between two quantities' relative sizes.it is denoted by the symbols a:b or a/b.
A proportion is the same as two ratios being equal.
For the answer to the question above,
For every five shovels of gravel, four shovels of sand are used.
4s : 5g
For 64 shovels of sand, how many shovels of gravel are
64s : Xg
We must determine the value of X.
4s : 5g
64s : Xg
4s.Xg = 5g.64s
[tex]X=\frac{5g * 64s}{4} \\X=5 * 16\\X=80[/tex]
Hence, 80 shovels of gravel are needed.
To learn more about ratio and proportion
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