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jadejordan8888
09.11.2019 •
Mathematics
In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. if one sweater and four shirts cost $52, while four sweaters and five shirts cost $98. find the price of one sweater and the price of one shirt.
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Ответ:
1 Sweater = $12
1 Shirt = $10
1st.
Sw = y
Sh = x
2nd: set the problem into a function.
- One sweater and four shirts cost $52.
y+x+x+x+x = $52
and
- Four sweaters and five shirts cost $98.
y+y+y+y+x+x+x+x+x = $98
3rd.
y+x+x+x+x = $52
y = 52-x-x-x-x
y = 52-4x
4th. if y = 52-4x, we will substitute on the second equation.
y+y+y+y+x+x+x+x+x = $98
52-4x+52-4x+52-4x+52-4x+5x = 98
208-16x+5x = 98
-16x+5x = 98-208
-11x = -110
x = -110/-11
x = 10
5th. if x = 10, now that we know what x equals to, we will substitute on the first equation to find out what y equals to.
y = 52-4x
y = 52-(4)(10)
y = 12
,,,,,,
Sweater = $12
Shirt = $10
Ответ:
there are 8 sides but there are only 3 so 3/8 or 3 out of 8