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3 years ago

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Maggie's brother is 10 years younger than twice her age. The sum of their ages is 29. How old is Maggie? Maggie is ___years old.

1 answer:

yulyashka [42]3 years ago

3 0

Let M be the age of Maggie and B the age of her younger Brother:

Rewrite the problem from English language to Math's:
B = 2.M - 10 (1)
and M + B = 29 (Given) OR B = 29 -M (2)
Plug 2) into 1):

29 -M = 2.M -10
29 + 10 = 3 M →→3M = 39 and M = 39/3 = 13
Replace M by 13 and you will find B =6

Then Maggie = 13 year old and her brother B = 6 year old

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1) So the ratio of Machine A to B is x + 16 : x (x being the paper printed in machine b).

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2 years ago

3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys

Svetach [21]

Answer:

$\dfrac{9}{35}$ is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = $x$

Given that, $\frac{3}{7}$ of 8th graders play sports

$\Rightarrow$ 8th graders who play sports = $\frac{3}{7} \times x$

Also, Given that, $\frac{3}{5}$ of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = $\frac{3}{5} \times \text{Number of 8th graders who play sports}$

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Hence, the answer is:

$\dfrac{9}{35}$ is the fraction of 8th graders who are boys.

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3 years ago