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nell1234565
09.03.2020 •
Mathematics
A school band ordered hats for 3 dollars and large shirts for 5 dollars. They bought 150 items in all for 590 dollars. Graph a system of equations to find how many hats and shirts the band ordered.
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Ответ:
The number of hats ordered is 80 and the number of shirts ordered is 70.
Step-by-step explanation:
Given that :
Cost of hats = $3Cost of shirts = $5The total cost of all the items = $590.
The total number of items bought = 150 items.
Let us assume :
The number of hats ordered = xThe number of shirts ordered = yThe equation can formed as :
x+y = 150 (1)
3x+5y = 590 (2)
Multiply eq(1) by 3 and subtract eq(2) from eq(1),
3x+3y = 450
-(3x+5y = 590)
-2y = - 140
2y = 140
y = 140/2
y = 70.
The number of shirts ordered is 70.
Substitute y=70 in eq(1),
x+70 = 150
x = 150-70
x = 80.
The number of hats ordered is 80.
Ответ: