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At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot do
Question
At a baseball game, a vender sold a combined total of 102 sodas and hot dogs. The number of sodas sold was 30 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold. Number of sodas sold: Number of hot dogs sold:
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Mathematics
4 years
2021-09-02T23:38:41+00:00
2021-09-02T23:38:41+00:00 2 Answers
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Answers ( )
Answer:
Hotdogs=36
Sodas=66
Step-by-step explanation:
X-Hotdogs
Y-Sodas
Y-30=X
Y+X=102
New equation: 102-X-30=X
Add X to both sides
102-30=2x
x=36
y=66
Answer: 132 hamburgers and 30 sodas
Step-by-step explanation:
x= Number of hamburgers
y= Number of sodas
1 x + 1 y = 102
1 x -1 y = 30
Eliminate y
Add the two equations
2 x = 132
/ 2
x = 66
plug value of x in (1)
1 x + 1 y = 102
132 + y = 102
y = 102 -132
y = 30
y = 30
x= 132 Number of hamburgers
y= 30 Number of sodas