There are currently 297 seats in the house of representatives. There are 129 fewer party-list representatives than district representatives. How many members of each type of representatives are there in congress?
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ANSWER:
There are 213 district representatives and 84 party-list representatives.
Representation:
x = number of district representatives
x - 129 = number of party-list representatives
297 = total
Working Equation: x + x - 129 = 297
Solution:
x + x - 129 = 297
2x - 129 = 297
2x = 297 + 129
2x = 426
2x ÷ 2 = 426 ÷ 2
x = 213 (number of district representatives)
x - 129 = number of party-list representatives
213 - 129 = 84 (number of party-list representatives)