Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought a total of 14 bananas and peaches altogether. Write a system of equations that could be used to determine the number of bananas and the number of peaches that Emily bought. Define the variables that you use to write the system.

b + p = 14 and 0.80 b + 2 p = 20.80 are the system of equations.

Step-by-step explanation:

Step 1 :

Let b be the number of bananas

Let p be the number of peaches  

Given that the total of bananas and peaches that Emily bought  = 14

Hence we have,

b + p = 14

Step 2 :

Cost of one banana =  $0.80

Cost of one peach = $2

Cost of all the bananas and peaches Emily bought = $20.80

So sum of b bananas costing $0.80 and sum of p peaches costing $2 each is $20.80

Hence we have

0.80 b +2 p = 20.80

Solving for the above 2 equations we can get the value for b and p which will give the number of bananas and peaches bought

Step 3 :

Answer :

The system of equations that could be used to find the number of the bananas and the number of the peaches that Emily bought is given by

b + p = 14

0.80 b +2 p = 20.80

for the points! : )