A weightlifter uses a total of 12 plates to add 260 pounds to a bar. He uses 45-pound plates and 10-pond plates. Write and solve
a system of equations to find the number x of 45-pond and the number y of 10-ponds plates he uses.
1 answer:
Answer:
45 pound plate = 4
10 pound plate = 8
Step-by-step explanation:
x = 45 pound plate
y = 10 pound plate
x + y = 12 - - - (1)
45x + 10y = 260 - - (2)
x = 12 - y
45(12 - y) + 10y = 260
540 - 45y + 10y = 260
540 - 35y = 260
-35y = 260 - 540
-35y = - 280
y = 280 / 35
y = 8
x = 12 - y
x = 12 - 8
x = 4
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