So the total amount he saw today was 333 less than what he saw last time. Which means last time there was 333 more monkeys
Last sat he saw 161,949 monkeys
Answer:
5 sets
Step-by-step explanation:
The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.
Let x represent the number of 3-piece sets. Then the total number of pieces is ...
3x +5(5) +10(2) = 3x +45
The total number of sets is ...
x +5 +2 = x +7
We want the ratio of these numbers to be 5 pieces per set:
(3x +45)/(x +7) = 5
3x +45 = 5x +35 . . . . . multiply by (x+7)
10 = 2x . . . . . . . . . . subtract (3x+35)
5 = x . . . . . . . . . divide by 2
Divya owns 5 sets with 3 pieces.
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<em>Alternate solution</em>
Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.
Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.
Altogether, the differences from average must total zero.
Transposition
Transposition is a method to isolate the variable to one side of the equation and everything else to the other side so that you can solve the equation.
Algebraic equations can be solved using the Law of equations. The Law of equations states that whatever you do on one side of an equation, you must do on the other side as well.
Answer:
91
Step-by-step explanation:
3 x 3 x 3 x 3 + 2 x 5 =
9 x 3 x 3 + 2 x 5 =
27 x 3 + 2 x 5 =
81 + 2 x 5 =
81 + 10 =
<u>91</u>
