Similarity ratio is a ratio of two figures having the same side.
Ratio can be rate but rate can never be ratio. In essence, rate is comparison between ratios. While ratio is comparison between two or more numbers. Further, ratio on one hand, involves numbers either in amount, size, measurement, degrees, percentages or fractions with the absence of specific unit of measurement. On the contrary, rate is comparing quantities, amounts or unit of events happened expressed in a specific measurement or expressed under time. Take for instance, an example, Joe eats 2 while John eats 4 meals in a day. The ratio can be Joe: John, 2:4 meals. While the rate, is Joe eats 2 meals/day and John 4 meals/day.<span>
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Let x be the number of dimes
and y be the number of quarters
Total number of coins = 12
So number of dimes + number of quarters = total number of coins
x + y = 12 ---------> equation 1
We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196
y quarters = 25y cents , x dimes = 10x cents
x dimes + y quarters = 195 cents
10x + 25y = 195 -----------> equation 2
Now solve both equations
x + y =12, we solve for y by subtracting x on both sides
y = 12-x
Now substitute y in second equation
10x + 25(12-x) = 195
10x + 300 -25x = 195 (combine like terms)
-15x + 300 = 195 (subtract 300 on both sides)
-15x = -105 ( divide by -15)
x=7
y= 12-x
y=12-7 = 5
The number of dimes = 7
Number of quarters = 5
Answer: 18
Step-by-step explanation:
