Answer:
a. The price of an apple is $0.5 and that of a banana is $0.8
b. 4
Explanation:
Form simultaneous equations from the information.
For 5 apples and 4 bananas, and the total comes to $ 5.70 this can be;
5 a + 4 b = $5.70----------i
After he puts back 1 apple and 2 bananas, the equation will be;
4 a + 2 b = $3.60 -------------ii
Solve the two equations simultaneously as;
{5 a + 4 b = 5.70 }4 ---------making the a terms equal to eliminate them
{4 a + 2 b = 3.60}5
20 a + 16 b = 22.80 -------subtract the b terms
20 a + 10b = 18.00
6 b = 4.80
b= 4.80/ 6
b=$ 0.8
Using equation i :
5a + 4b =$5.70
5a + 4*0.8 = 5.70
5a + 3.2 = 5.70
5a = 2.5
a = 2.5 / 5
a=$0.5
The price of an apple is $0.5 and that of a banana is $0.8
b.
Let the number of apples be ------x
Let the number of bananas be-----x
This is because the target is equal numbers;
Form an equation for total cost as;
0.5 x + 0.8 x = $6
1.3 x = 6
x = 1.3 / 6 = 4.62
Maximum number of bananas to buy = 4
Maximum number of apples to buy = 4
However, he will have $0.8 remaining