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Gekata [30.6K]
3 years ago
12

Given a:b and b:c, find a:b:c. Write the ratio in simplest form. a:b=4:7 and b:c=5:13 need help

Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:

20:35:91

Step-by-step explanation:

Given:

a:b=4:7\\ \\b:c=5:13

Find:

a:b:c

1. Since a:b=4:7, then

a=4x\\ \\b=7x

2. Since b:c=5:13, then

b=5y\\ \\c=13y

3. We have b=7x and b=5y, so

7x=5y\\ \\y=\dfrac{7}{5}x.

4. Now,

a=4x\\ \\b=7x\\ \\c=13\cdot \dfrac{7}{5}x=\dfrac{91}{5}x,

so

a:b:c=4x:7x:\dfrac{91}{5}x\\ \\a:b:c=20:35:91

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