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Sagot :
Answer:
Step-by-step explanation:
a. Fill in the equation for the cost of Mrs. Ortiz's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
__$55__ = __50__ x + __30_ y
b. Fill in the equation for the cost of Mr. Donahue's purchase. Let x represent the cost of a pencil and y represent the cost of a ruler.
__$45__ = __30__ x + __30__ y
c. Circle the best method for solving the system:
Elimination
d. Solve the system using the method you chose.
55 =50x+30y
-1(45) =(30x+30y)-1 = -45=-30x-30y
55 =50x+30y
+ -45=-30x-30y
10=20x
(1/20)10=20x(1/20)
0.50=x
3(55) =(50x+30y )3 = 165=150x+90y
-5(45) =(30x+30y)-5 = -225=-150x-150y
165 =150x+90y
+ -225=-150x-150y
-60=-60y
(1/-60)-60=-60y(1/-60)
1=y
A mechanical pencil costs _$0.50__ and a ruler costs __$1.00__.
e. Check your answer:
$55=50x+30y $45=30x+30y
$55=50(0.5)+30(1) $45=30(0.5)+30(1)
$55=25+30 $45=15+30
$55=$55 $45=$45
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