Answer:
the new scale is the same length as the original scale
Her friend's house is 1/12 miles away from her house.
Since 1/4 miles is 1/3 of the way, 1/4 x 1/3 = 1/12.
Answer:
No multiplying both quantities in the ratio 60 : 36 by 1 would not give the answer .
But multiplying both quantities in the ratio 60 : 36 by 1/6 would solve it.
Step-by-step explanation:
Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .
If it is multiplied with a fraction like 1/6 that would give the correct answer.
Multiplying it with 1/6 reduces the ratio and gives a better estimate.
A:B
60:36
60*1/6: 36*1/6
10: 6
Meaning that for a total of 16 there are 10 of category A and 6 of category B.
But if we do the same procedure with the answer is same which does not solve the question.
A:B
60:36
60*1: 36*1
60: 36
Answer:
The price of a drink = $4
The price of a bag of popcorn = $5.5
Step-by-step explanation:
Let p represent popcorn and d represent drink
<u>Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79</u>
<em>Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50</em>
Now multiply first equation by -3 and second equation by 10
-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237
10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365
Now add the new equationd
30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)
32d = $128 divide both sides of the equation by 32
32 ÷ 32d = 32 ÷ $128 ➡ d = 4
If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn
3p + 5d = $36.50 (replace d with 4)
3p + 4×5 = $36.50
3p + 20 = $36.50
3p = $36.50 - 20
3p = 16.50 divide both sides by 3
p = $5.5