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Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren eat 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially

Respuesta :

Answer:

(x + 45) - (1.5x - 12) = 17

Step-by-step explanation:

adioabiola

The number of waffles there were initially is; 80 waffles

Simultaneous equations

Let the number of pancakes be x.

Let the number of waffles be y

Hence, after she baked 45 more waffles, and her grandchildren eat 12 pancakes, what she has is;

  • y +45 waffles and x-12 pancakes.

There were 17 more waffles than pancakes.

  • y+45 = x-12 +17.......equation (1)

And initially, x = 1.5y

Hence, to determine y, we must substitute x = 1.5y into equation (1)

Therefore, we have;

  • y+ 45 = 1.5y -12+17

  • 0.5y = 40

  • y = 40/0.5

  • y = 80 waffles.

Read more on simultaneous equations;

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