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chubhunter [2.5K]
3 years ago
12

Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla

nning to buy her a bouquet of flowers. What is the biggest bouquet they can buy in which the ratio of pink flowers to blue flowers matches the ratio of girls to boys if the florist has 9 blue carnations and 12 pink carnations left?
Mathematics
1 answer:
slava [35]3 years ago
3 0
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
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The product of two positive integers is 176. One number is 5 more than the other. Find the smaller number.
svlad2 [7]

Hello from MrBillDoesMath!

Answer:

11



Discussion:

Let "n" be the smaller number. Then

n * (n+5) = 176.


My first reaction to this problem was to factor 176 in my head. That's  176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:

n(n+5) = 176                 =>

n^2 + 5n - 176 = 0       => use the quadratic formula


n =     ( -5 +\- sqrt( 5^2 - 4(1)(-176)) )  /2

 =     ( -5 +\- sqrt( 25 +  704) )/ 2

=     ( -5 +\- sqrt (729) ) /2                            => as sqrt(729) = 27

=      (-5 +\- 27) / 2                                        =>

=      (-5 + 27)/2 or ( -5 -27)/2                      =>

=      22/2  or  -32/2                                     =>

=      11 or  -16


But -16 is not allowed as the question wants a positive value.



Thank you,

MrB

4 0
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hope i helped ( ಥـْـِـِـِـْಥ)
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Afina-wow [57]
She will pay 20$ for 10 pounds of hamburger
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