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VLD [36.1K]
2 years ago
13

Rene made a 90 % on her math test. If she answered 20 problems correctly , how many problems were on the test ?

Mathematics
1 answer:
MakcuM [25]2 years ago
8 0

Answer:

Rene made = 90 on her math test

If she answer =20problems correctly

we know,

how many problem were there = ?

there where = 90-20

= 70

There where 70 problems

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\left \{ {{10x+13y = 1125} \atop {-2x+7y = 495}} \right.

x=14

Boomer: 10(14)+13y=1125

               140+13y=1125

                       13y=1125-140

                       y= 985/13

                       y= 75.77 (75.77 millions of boomers in 2014)

Millenials: -2(14) +7y = 495

                  -28 +7y = 495

7y= 495+28

y= 523/7

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In 2014 the population of boombers were still greater than the population of millennials

The solution of the system of equations will give us the point where the populations were equalized, and from that point the population of boombers will be less than that of the millennials.

Boomers: 10x+13y = 1125

                 y= (-10x +1125)/13

Millenials: -2x+7y = 495

                 y= (2x+495)/7

We match both expressions of "y"

(-10x +1125)/13 =(2x+495)/7

cross multiply:

(-10x +1125)*7 =(2x+495)*13

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1440 = 96x

x= 1440/96

x= 15

In 2015 the both populations were the same and from that year the population of millennials surpassed the population of boomers

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