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students are selling grapefruits and nuts for a fundraiser. The grapefruits cost $1 each bag of nuts cost $10 each. They sold 100 items and made $307. How many grapefruits did they sell?​

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sai848

Answer:

answer

Step-by-step explanation:

the equation would be

1) x+ 10y= 307

2) x+y=100

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1) x=307-10y

307-9y=100

y=23

2) x=307-10y

x=307-10 x 23

x=77

so

x=77

y=23

77 grapefruits were sold in total

Simultaneous equation

  • Let the amount of grapefruit be x
  • Let the amount of nut be y

If the grapefruits cost $1 each bag of nuts cost $10 each with a total od $307 made, hence;

x + 10y = 307

If theree are 100 items altogether, then;

x + y = 100

x = 100 - y

Substitute into equation 1:

100-y + 10y = 307

100 + 9y = 307

9y = 307 - 100

9y = 207

y = 23

Since x = 100 - 23

x = 77

Hence 77 grapefruits were sold in total

Learn more on simultaneous equation here: https://brainly.com/question/16863577