You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
Step 1: Simplify both sides of the equation.
2
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3
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2
x
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1
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=
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6
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5
2
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(
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=
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5
(Distribute)
2
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6
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5
(
−
6
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+
(
2
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=
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6
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(Combine Like Terms)
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6
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5
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6
x
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5
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6
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Step 2: Add 6x to both sides.
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5
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Step 3: Subtract 5 from both sides.
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0
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0
Answer:
1/4 cups of juice
Step-by-step explanation:
1 cup of juice --- 4 cups of water
x cups of juice --- 1 cup of water
1/x = 4/1
1/x = 4
x = 1/4
X= 9/4 if finding the perfect square trinomial
