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drek231 [11]
3 years ago
5

Find the ratio a:b- 1) 2a=9b 2) a+b=3b please explain your work

Mathematics
1 answer:
Alex777 [14]3 years ago
6 0

1) 2a = 9b    ⇒ 2:9

2) a + b = 3b   ⇒   a = 2b   ⇒   1:2

Answers: 2:9  and  1:2

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Answer:

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Step-by-step explanation:

let c represent cookies, m represent muffins. set up a system of equations:

2c+3m=16

m=2c

(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).

then solve the system of equations by substitution, substituting 2c for m in the top equation:

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this means that lori bought 2 cookies.

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