Question

Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0. 75 each and Golden Delicious apples are $1. 25 each. Mary spent $21. 00 on 22 apples. How many Golden Delicious apples did Mary buy?.

Answer 1

The number of Golden Delicious apple bought by Mary is 9.

Algebraic expressions are the combination of terms related together by arithmetic operations like addition, subtraction, and division.  

The number of Golden Delicious apples are computed as follows:

Given:

Price of Delicious Apples = $ 0.75

Price of Golden Delicious Apples = $ 1.25

Total Number of Apples = 22

Total Price of Apples = $ 21.00    

How can we write the Algebraic Equation for the given data?

In the equation, x is for Delicious apples and y is for Golden delicious apples.

$\begin {aligned}21 &= 0.75 x + 1.25 y .....(1)\\22 &= x + y .....(2)\\\\\end{aligned}$

   

$\begin {aligned}\rm Putting\; the \;value\; of\; y\; in\; Equation\;(1):\\21 &= 0.75 x + 1.25 (22 - x)\\21 &= 0.75 x + 27.5 - 1.25 x\\-6.5 &= -0.5 x\\x &= 13\\\\\end{aligned}$

$\begin {aligned}\rm Putting\; the \;value\; of\; x\; in\; Equation\;(2):\\y &=22 - x \\y &= 22 -13\\y&= 9\end{aligned}$

Thus, Mary bought 9 Golden Apples and 13 Delicious Apples.  

Learn more about arithmetic operations here:

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