Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
I think the answer to the question is 2,250
X=number of girls.
y=number of boys.
We can suggest this system of equations:
2/7 x=3/5 y ⇒10x=21y ⇒x=21/10 y
y=x-165
We can solve this problem by substitution method:
x=(21/10)(x-165)
10x=21x-3465
10x-21x=-3465
-11x=-3465
x=-3465 /-11=315
y=x-165=315-165=150
Number of children=number of girls + number of boys
Number of children=315 +150=465
Answer: there were 465 children at the festival.
The correct question is
<span>Sakura speaks 150 words per minute on average in hungarian, and 190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 5 minutes total giving both instructions, and spoke 270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?</span>
Let
x------> total words spoken by sakura in hungarian------> 150 words /minute
y------> total words spoken by sakura in polish-----------> 190 words /minute
we know that
(x/150)+(y/190)=5--------- > equation 1
y=270 +x-------------------- > equation 2
<span>substituting 2 in 1
(x/150)+(270+x)/190=5
</span><span>multiplying all the expression by (150)*(190)
</span>190x+150*(270+x)=5*190*150
190x+40500+150x=142500
340x=102000-------------- > x=300
x=300 ------------- > total words spoken by sakura in hungarian
y=270+x=270+300=570
y=570 ----------- > total words spoken by sakura in polish
the question is <span>how long did sakura speak in hungarian, and how long did she speak in polish?
</span>
y=570 words in polish-------------------> 190 words /minute
if 190 words-----------------------------> 1 minute
570 words-------------------------- X
X=570/190=3 minutes
In polish Sakura spoke 3 minutes
x=300 words in hungarian-------------------> 150 words /minute
if 150 words-----------------------------> 1 minute
300 words-------------------------- X
X=300/150=2 minutes
In hungarian Sakura spoke 2 minutes
