Respuesta :
The weight of Kelly's pumpkin is 35 pounds and Gemma's pumpkin is 15 pounds.
Given:
Kelly and Gemms pick two pUmpkins of different weight.
Kelly’s pumpkin weighs 5 pounds more than twice the weight of Gemma’s pumpkin.
Kelly’s pumpkin also weighs 25 pounds lessor than 4 times the weight of Gemma’s pumpkin
To find:
Write and solve an equation to find the weights of the pumpkins.
Solution:
Let the weight of Gemma's pumpkin be 'x' pounds.
Kelly’s pumpkin weighs 5 pounds more than twice the weight of Gemma’s pumpkin. The equation for the weight of Kelly's pumpkin:
=2x+5...[1]
Kelly’s pumpkin also weighs 25 pounds lessor than 4 times the weight of Gemma’s pumpkin. The equation for the weight of Kelly's pumpkin:
=4x-25...[2]
Equating [1] and [2]:
[tex]2x+5=4x-25\\5+25=4x-2x\\30=2x\\x=\frac{30}{2}=15[/tex]
Weight of Gemm's pumpkin = 15 pounds
Weight of Kell's pumpkin:
[tex]15=2x+5=2\times 15+5=35[/tex]
The weight of Kelly's pumpkin is 35 pounds and Gemma's pumpkin is 15 pounds.
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