Sure, let's solve this step-by-step!
[Sol 1]
1. Let [tex]\( x \)[/tex] be the number of onions.
2. There are 4 more tomatoes than onions, so the number of tomatoes can be represented as [tex]\( x + 4 \)[/tex].
3. The sum of the number of onions and tomatoes is given as 32.
So, we can write the equation as:
[tex]\[ x + (x + 4) = 32 \][/tex]
4. Simplify the equation:
[tex]\[ x + x + 4 = 32 \][/tex]
[tex]\[ 2x + 4 = 32 \][/tex]
5. Subtract 4 from both sides:
[tex]\[ 2x = 28 \][/tex]
6. Divide by 2:
[tex]\[ x = 14 \][/tex]
7. Therefore, the number of onions [tex]\( x \)[/tex] is 14.
8. The number of tomatoes is:
[tex]\[ 14 + 4 = 18 \][/tex]
Solution:
- Onions: 14
- Tomatoes: 18
### Alternative Solution
[Sol 2]
1. Let [tex]\( t \)[/tex] be the number of tomatoes.
2. Since there are 4 more tomatoes than onions, the number of onions can be represented as [tex]\( t - 4 \)[/tex].
3. The sum of the number of onions and tomatoes is given as 32.
So, we can write the equation as:
[tex]\[ (t - 4) + t = 32 \][/tex]
4. Simplify the equation:
[tex]\[ t - 4 + t = 32 \][/tex]
[tex]\[ 2t - 4 = 32 \][/tex]
5. Add 4 to both sides:
[tex]\[ 2t = 36 \][/tex]
6. Divide by 2:
[tex]\[ t = 18 \][/tex]
7. Therefore, the number of tomatoes [tex]\( t \)[/tex] is 18.
8. The number of onions is:
[tex]\[ 18 - 4 = 14 \][/tex]
Solution:
- Tomatoes: 18
- Onions: 14
