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Savannah and her children went into a grocery store and she bought $22 worth of
peaches and mangos. Each peach costs $1.75 and each mango costs $1.50. She bought
6 more mangos than peaches. Write a system of equations that could be used to
an peaches Write a custom of educational
determine the number of peaches and the number of mangos that Savannah bought.
Define the variables that you use to write the system.

Respuesta :

texaschic101

Answer:

Step-by-step explanation:

p = peaches, m = mangos

1.75p + 1.50m = 22

m = p + 6

1.75p + 1.50(p + 6) = 22

1.75p + 1.50p + 9 = 22

1.75p + 1.50p = 22 - 9

3.25p = 13

p = 13 / 3.25

p = 4 <====== she bought 4 peaches

m = p + 6

m = 4 + 6

m = 10 <===== she bought 10 mangos

check...

1.75p + 1.50m = 22

1.75(4) + 1.50(10) = 22

7 + 15 = 22

22 = 22 (correct)

The number of peaches and the number of mangos that Savannah bought

are 4 and 10 respectively.

The variable use to write the equation is x and it is the number of peaches

Savannah and her children bought

let

the number of peaches Savannah and her children bought = x

Therefore

the number of mangoes Savannah and her children bought = x + 6

The total worth of what they bought = $22

Therefore,

1.75x + 1.50(x + 6) = 22

1.75x + 1.50x + 9 = 22

3.25x + 9 = 22

3.25x = 22 - 9

3.25x = 13

x = 13 / 3.25

x = 4

Therefore,

number of peaches bought = 4

number of mangoes bought = 4 + 6 = 10

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