ratio and proportion

Question

2 years ago the ratio of ages of Matthew and Belinda is 5:6.Today the ratio of their ages is 6:7 .What is Matthew's age?

Answer 1

1) 5(m - 2) = 6(b - 2)

2) 6m = 7b  or m = (7/6)b

substitute eq(2) into eq(1):

5((7/6)b - 2) = 6(b - 2)

(35/6)b - 10 = 6b - 12

(35/6)b - 10 = (36/6)b - 12

2 = (1/6)b

b = 12

using eq(2):

6m = 7(12)

m = 84/6 = 14

check using eq(1):

5(14 - 2) = 6(12 - 2)

60 = 60

Matthew is 14 years old, Belinda is 12 years old.

Answer 2

16/12=20/5 true or flase

Answer 3

1.7 /5 no : _ / 12 ml

Answer 4

idk this one

Answer 5

suzie ,paul and pasu received $710 in the ratio 3:4:5 respectively . calculate the amount suzie and paul received

Answer 6

Is 10.2/71.4 and 12.7/88.9 ratio

Answer 7

If y is directly proportion to x and y=8 when x=10 what is the value of y when x=5 a)4 b)16 c)40 d)80

Answer 8

Mathew is 12 years old and belinda is 14 years old

Answer 9

the ratio comparing the amount of time that pat and teri is 6:5. they earn a total of $77. if pat works longer how much does each earn?

Answer 10

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