Hill Hobbs
02/25/2023 · Primary School
If the ratio of girls to boys in the ciass had been \( 24: 20 \), it have affected your answers to a and b above? Cive argument for your answer. Sand and gravel are mixed in the ratio \( 4: 3 \) to make balla 140 kg of ballast is used on a building job. a What fraction of the ballast is gravel? b How much gravel is used?
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Step-by-step Solution
Given:
- The ratio of girls to boys in the class is 24:20.
- Sand and gravel are mixed in the ratio 4:3 to make ballast.
- 140 kg of ballast is used on a building job.
Let's first find the fraction of the ballast that is gravel and then calculate how much gravel is used.
a) To find the fraction of the ballast that is gravel:
The total ratio of sand and gravel is 4 + 3 = 7 parts.
The fraction of gravel in the ballast is 3/7.
b) To calculate how much gravel is used:
The total weight of the ballast is 140 kg.
The fraction of gravel in the ballast is 3/7.
Therefore, the weight of gravel used is \( \frac{3}{7} \times 140 \) kg.
Let's calculate the weight of gravel used.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{3}{7}\times 140\)
- step1: Reduce the numbers:
\(3\times 20\)
- step2: Multiply the numbers:
\(60\)
a) The fraction of the ballast that is gravel is \( \frac{3}{7} \).
b) The weight of gravel used is 60 kg.
Quick Answer
a) Fraction of ballast that is gravel: \( \frac{3}{7} \).
b) Weight of gravel used: 60 kg.
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