Answer:
Option (3)
Step-by-step explanation:
Given: EF = 10x + 20
FG = 43
EG = 183
From the figure attached,
Length of segment EF + length of segment FG = length of segment EG
By substituting the values of each segment in the equation,
(10x + 20) + 43 = 183
10x + 20 = 183 - 43
10x = 140 - 20
x =
x = 12
Therefore, x = 12 will be the answer.
Option (3) will be the correct option.
The to your question answer is 1
Answer:
170
Step-by-step explanation:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 + 5 + 7 = 17
since Cindy ate 30, less than Ann and Ben together so, the equation is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 = 70
total = 170
By using the ratio and the given information that Cindy ate 30 strawberries less than Ann and Ben combined, we deduced that each part of the ratio corresponds to 15 strawberries. Therefore, all three kids ate in total 255 strawberries.
The first thing you need to do is to use the ratio. 5 parts belong to Ann, another 5 parts belong to Ben and the remaining 7 parts belong to Cindy, which totals 17 parts altogether. We know that Cindy ate 30 strawberries less than Ann and Ben combined, so in terms of the ratio, Ann and Ben make up 10 parts together (5+5) and Cindy's 7 parts are equal to these 10 parts minus 30. Let's denote one part with the letter 'x'. So 10x = 7x + 30, leading to x=15. Now we know that each 'part' in the ratio is equal to 15 strawberries. So, to find the total strawberries they ate you just need to multiply this by the total ratio parts, which is 17. Thus, they ate 17 x 15= 255 strawberries in total.
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