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DanielleElmas [232]
3 years ago
14

Building a is 190 feet shorter than building

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
We will solve this using a system of equations.  The first part tells us that building a is 190 feet shorter than building b.  Our first equation, then, is b=190+a.  The second part tells us that the addition of the two buildings' heights is 1480.  So our second equation is a + b = 1480.  The first equation is already solved for b, so let's sub that value into the second equation for b: a+(190+a)=1480.  2a + 190 = 1480 and 2a = 1290.  That means that building a is 645 feet tall.  Building b is 190 feet taller, so b = 190 + 645, which is 835.
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Step-by-step explanation:

Let x represent the number of psychology textbooks that were sold.

Let y represent the number of biology textbooks that were sold.

textbook store sold a combined total of 274 psychology and biology textbooks in a week. This means that

x + y = 274 - - - - - - - - - - -1

The number of psychology textbooks sold was 78 more than the number of biology textbooks sold. This means that

x = y + 78

Substituting x = y + 78 into equation 1, it becomes

y + 78 + y = 274

2y = 274 - 78

2y = 196

y = 98

x = y + 78 = 98 + 78

x = 176

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Step-by-step explanation:

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