MATH SOLVE

3 months ago

Q:
# Nora and her children went into a grocery store and she bought $11.95 worth of apples and bananas. Each apple cost $1.25 and each banana costs $0.40. She bought a total of 15 apples and bananas altogether. Determine the number of apples and the number of bananas that Nora bought.

Accepted Solution

A:

Answer: apples = 7 and bananas = 8Step-by-step explanation:Let x represent the number of apples and y represent the number of banana,and it was said that the total apples and bananas altogether is 15 , that is x + y = 15 ................. equation 1Also,1.25x + 0.40y = 11.95 ............. equation 2Solving the two equations simultaneously , From the first equation, x = 15 - y ........... equation 3substitute equation 3 into equation 2, we have1.25(15 - y) + 0.40y = 11.9518.75 - 1.25y + 0.40y = 11.9518.75 - 0.85y = 11.9518.75 - 11.95 = 0.85y6.8 = 0.85ytherefore y = 6.8/0.85= 8substitute y = 8 , into equation 3x = 15 - 8x = 7Therefore , she bought 7 apples and 8 banana