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CCSS.Math:

Martin likes to make flower bouquets that have that each have three violets and four tulips if the price of a violet is V and the price of a tulip is t match the expressions to their meanings so let's see the price of one of Martin's bouquets so one of Martin's bouquets has three violets and four four tulips so the three violets are going to cost three times the price of the violet which is V so that's the cost of the violets 3v and then the four tulips are going to cost four times the price of a tulip so it's 40 so it's three V plus four T so it's not this one let's see this one right over here this is 4 T plus 3 V so this is the price of four tulips four times the price of a tulip plus three times the price of a violet the price of three of Martin's bouquets so it's essentially going to be three times this quantity right over here this is the price of one bouquet we want three of them so it's going to be three times the quantity 4 T plus 3 V and let's see if I were to actually multiply this out 3 times 4 T is 12 T and then plus 3 times 3 V is 9 V so this is the same thing if I were to distribute the 3 is 12 T plus 9 V well that's this right over here these two are equivalent expressions and let's see are any of these other things equivalent no this is 3 times 3t plus 4 V so I'm going to put this in the not used bucket and then I have let's see 3 V plus 2 T this is I'm going to put in the not used bucket not used bucket and let's see this has two V plus 4 T plus V so if I were to simplify this if I were to combine the the V terms and five two V's and add another V that's three V's plus four T so this is actually the same thing as the price of one of Martin's bouquet so you could view this as the price of two violets plus the price of four tulips plus another violet so it's really the price of three violets and four tulips let's check our answer we got it right