Question

Please please help me with this answer

Answer 1

To solve this problem, we should use a system of equations. In this example, we can construct two equations from the given equation letting the variable r represent the number of raspberries Diane has and b represent the number of blackberries Diane has.

r + b = 46 (the number of raspberries plus the number of blackberries is 46, the total number of berries)

b + 20 = r (there are 20 more raspberries than blackberries)

Our two equations are above. Because our second equation is already r in terms of b, we can substitute this value for r into our first equation, as modeled below:

r + b = 46

(b + 20) + b = 46

Now, to simplify, we should combine like terms on the left side of the equation.

2b + 20 = 46

Next, we should subtract 20 from both sides of the equation to get the variable term alone on the left side of the equation.

2b = 26

Finally, we should divide both sides of the equation by 2, in order to get rid of the coefficient on the variable b.

b = 13

Therefore, Diane has 13 blackberries (if you substitute in this value into the first equation, you can figure out that there are 33 raspberries in the bowl).

Hope this helps!

Answer 2

The number of blackberries is 33