'bonnie has b stickers. first, bonnie gave away 1/6 of her stickers. Then Bonnie got 12 more stickers, and she has 47. Write an equation, involving B, the corresponds to this situation"
Bonnie has b stickers
after giving away 1/6 of them she has 5/6b left.
She then gets 12 more, now she has (5/6)b + 12
(5/6)b + 12 = 47
(5/6)b = 35
b = 42
check:
she had 42, gave 1/6 or 7 away, leaving her with 35
she then gets 12 more , resulting in 47
Let's break down the situation step-by-step:
1. Bonnie gave away 1/6 of her stickers.
This means she has 5/6 of her original stickers remaining.
So, the number of remaining stickers after giving away 1/6 is (5/6)B.
2. Bonnie got 12 more stickers.
Adding 12 stickers to the remaining stickers, we get:
(5/6)B + 12.
3. Bonnie has 47 stickers now.
According to the situation, the number of remaining stickers after receiving 12 stickers is equal to 47.
So, we have the equation:
(5/6)B + 12 = 47.
Therefore, the equation involving B that corresponds to this situation is:
(5/6)B + 12 = 47.
To write an equation that corresponds to this situation, we can break down the problem into steps and use the given information.
1. Bonnie gave away 1/6 of her stickers.
If Bonnie had B stickers at first, then the number of stickers she gave away can be calculated as (1/6)B.
2. Bonnie got 12 more stickers.
After giving away some stickers, Bonnie now has B - (1/6)B stickers. If she got an additional 12 stickers, the total number of stickers she has is B - (1/6)B + 12.
3. Bonnie has a total of 47 stickers.
According to the problem statement, Bonnie currently has 47 stickers. Therefore, we can write the equation as:
B - (1/6)B + 12 = 47
Simplifying the equation:
Multiply both sides of the equation by 6 to get rid of the fraction:
6B - B + 72 = 282
Combine like terms:
5B + 72 = 282
Lastly, solve for B by isolating the variable:
Subtract 72 from both sides of the equation:
5B = 282 - 72
5B = 210
Divide both sides of the equation by 5:
B = 210/5
B = 42
Therefore, the equation that corresponds to this situation is:
B - (1/6)B + 12 = 47, and the number of original stickers Bonnie had, B, is 42.