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DaniilM [7]
3 years ago
6

One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of orange

s. If a represents the cost of each bag of apples and r represents the cost of each bag of oranges, which expression could Isabelle use to calculate the difference between the amounts she spent each week?
A. 3 a minus r
B. 3 a minus 5 r
C. (2 a minus 3 r) minus (a minus 2 r)
D . (2 a + 3 r) minus (a + 2 r)
Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

It should be D.

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Vsevolod [243]

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3 years ago
8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?
Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

  • We are given with a word problem
  • We are asked to find the total percentage decrease
  • We can do this in two steps

         Step 1: Finding the two percentage decrease

         Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$

Step 2 of 2

The percentage difference between the two percentages is,

$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

3 0
1 year ago
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