The club has $ 71,713 before purchasing the new chairs
Total of purchase 355 chairs
Price/chair $199
Money left after purchase $1,068
How much money the club has before purchasing the chairs?
First, we are going to calculate total money have spent on chairs using the area model for three digits multiplication.
[tex]=\boxed {355 \times199\ }\\ =\boxed {(300+50+5) \times(100+90+9)\ }[/tex]
[tex]= (300 \times100) + (300 \times90) + (300 \times9) + (50 \times100) + (50 \times90) + (50 \times9) + (5 \times100) + (5 \times90) + (5 \times9)\\ = 30000 + 27000+ 2700 + 5000 + 4500 + 450 + 500 +450 + 45\\= \boxed {70645\ }[/tex]
The total money for purchase the chairs is $ 70,645, the money left after purchase is $1,068, we can calculate the money that the club has before purchase by using additional method
[tex]= \boxed {70645+1068\ }\\ = \boxed {71713\ }[/tex]
So, total money the club has at first is $ 71,713
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Keywords: multiplication, standard algorithm, area model, three digits multiplication, additional
