Question

PLS HELP Anna buys bananas and apples. She buys 2 more apples than twice the number

of bananas. Altogether, Anna bought 14 fruits. How many apples did she buy?
(Hint use a bar model)
Your answer

Answer 1

Anna bought 4 bananas and 10 apples.

Explanation:

System of Equations

Let's call the following variables:

x = number of bananas Anna buys

y = number of apples Anna buys

She buys 2 more apples than twice the number of bananas, thus:

y = 2x + 2 [1]

Anna bought 14 fruits in total, thus:

x + y = 14 [2]

Substituting [1] in [2]:

x + 2x + 2 = 14

Simplifying:

3x = 12

Dividing by 3:

x = 4

Substituting in [1]:

y = 2*4+2 = 10

Anna bought 4 bananas and 10 apples.

Answer 2

You have to put this in a bar model yourself so convert it later

She bought 10 apples

Explanation:

3x + 2 = 14

why i did this

because she bought 2 times the amount of bananas, it should be x + 2x = 3x

then i added two because she bought two extra apples

so 3x+2 = 14

subtract 2

3x = 12

x = 4

So now we substitute x in apples

2x +2 = # of apples

8 +2 = 10

check

10 - 2 = 8

8/2 = 4

4 = # of bananas