Sarah and her friends are going blueberry picking. Sarah picks $b$ blueberries. Michael picks $3$ more than half as many as Sarah, and David picks $5$ more than Michael. In addition, Kaycee picks $10$ less than $3$ times as many as David and Hannah picks twice as many as Kaycee. Find an expression in terms of $b$ for the number of blueberries that Hannah picked.

Respuesta :

Sarah = b
Michael = 1/2*b + 3
David = b/2 + 8
Sarah = 3b/2 + 14
Hannah = 3b + 28

Expression in terms of [tex]\$b[/tex] for the number of blueberries that Hannah picked is equals to [tex]\$(3b+28)[/tex].

What is expression ?

" Expression is defined as variables are related using mathematical operation as per given condition."

According to the question,

As per the given condition expression for each person,

Number of blueberries Sarah picks [tex]= \$b[/tex]

Number of blueberries Michael picks [tex]= \$(\frac{b}{2} +3)[/tex]

Number of blueberries David picks [tex]= \$(\frac{b}{2} +3) + 5[/tex]

                                                           [tex]= \$(\frac{b}{2} +8)[/tex]

Number of blueberries Kaycee picks [tex]= \$[3(\frac{b}{2} +8)-10][/tex]

                                                              [tex]= \$(\frac{3b}{2} +14)[/tex]

Number of blueberries Hannah picks [tex]= \$[2(\frac{3b}{2} +14)][/tex]

                                                               [tex]=\$ (3b+28)[/tex]

Hence, expression in terms of [tex]\$b[/tex] for the number of blueberries that Hannah picked is equals to [tex]\$(3b+28)[/tex].

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