Answer:
x- cost of mango, y- cost of pear, 4x+4y=24 and 2x+3y=16
Step-by-step explanation:
For this, you first must assign variables. In this case, let's say x is the cost of a mango and y is the cost of a pear.
Therefore the total cost for the first part can be given by 4x+4y=24.(or 4 × the cost of a mango + 4 × the cost of a pear = $24).
Following this method, the second equation can be given by 2x+3y=16.
** building upon this knowledge (extension)**
To solve simultaneous equations, we need like terms. To make like terms, we can multiply the entire second equation by 2. This gives 2 equations of 4x+4y=24 and 4x+6y=32.
We solve this by subtracting one equation from another, giving (4x-4x)+(6y-4y)=(32-24), or 2y=8.
We can divide by 2 to get y=4, meaning a pear costs $4.
By substituting y with 4, we can work out x. 4x+4×4=24, also known as 4x+16=24.
We can subtract 16 to get 4x=8, and divide by 4, giving x=2, or a mango costs $2.
**This content involves writing simultaneous equations, which you may wish to revise. I'm always happy to help!
