Question

Define two variables. Then write equations. Quantity-rate equations may be helpful. Use either the elimination method or the substitution method to solve the equations.

A snack of 4 sugar cookies and 2 ginger snaps has 292 calories. Another of 3 sugar cookies and 10 ginger snaps has 339 calories. How many calories are in one of each kind of cookie? (Round your answers to one decimal place.)

Answer 1

The number of calories in each sugar cookies is 21.4 calories while the number of calories in each ginger snaps is  62.3 calories.

Simulteanous equations

The term simulteanous equations conotes the idea of two equations that can be solved at the same time. In this case, let the number of calories in each  sugar cookies be x and the number of calories in each  ginger snaps be y.

So;

4x + 2y = 292  ------- (1)

2x + 10y = 339 -------(2)

x = 292 - 2y/4 --------(3)

Substitute (3) into (2)

2(292 - 2y/4) + 10y = 339

584 - 4y/4 + 10y = 339

584 - 4y + 40y/4 = 339

584 - 4y + 40y = 1356

- 4y + 40y = 1356 - 584

36y = 772

y = 21.4

Substitute  y=21.4 into (1)

4x + 2y = 292

4x + 2(21.4) = 292

x = 292 - 2(21.4)/4

x = 62.3

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