Math  /  Algebra

QuestionAaliyah went into a grocery store and bought 5 peaches and 6 mangos, costing a total of $17.75\$ 17.75. Tristan went into the same grocery store and bought 2 peaches and 3 mangos, costing a total of \$8. Write a system of equations that could be used to determine the price of each peach and the price of each mango. Define the variables that yoù use to write the system.
Answer Attempt 1 out of 2
Let \square \square
Let \square \square System of Equations: \square \square

Studdy Solution

STEP 1

1. Aaliyah bought 5 peaches and 6 mangos for a total of 17.75.<br/>2.Tristanbought2peachesand3mangosforatotalof17.75.<br />2. Tristan bought 2 peaches and 3 mangos for a total of 8.
3. We need to find the price of each peach and each mango.
4. We will define variables for the price of a peach and the price of a mango.

STEP 2

1. Define the variables for the prices.
2. Write the system of equations based on the information given.

STEP 3

Define the variables for the prices.
Let p p represent the price of one peach. Let m m represent the price of one mango.

STEP 4

Write the system of equations based on the information given.
For Aaliyah's purchase: 5p+6m=17.75 5p + 6m = 17.75
For Tristan's purchase: 2p+3m=8 2p + 3m = 8
The system of equations is: \[ \begin{align*} 5p + 6m &= 17.75 \\ 2p + 3m &= 8 \end{align*}$

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