MRS SANTOS IS BAKING CAKES FOR THE SCHOOL FAIR.

Question

MRS. SANTOS IS BAKING SOME CAKES FOR THE SCHOOL FAIR. SHE IS MAKING BOTH 2-LAYER CAKES AND 3-LAYER CAKES. 2-LAYER CAKES COST$1.00 AND 3-LAYER CAKES COST $3.00. WHEN SHE FINISHED BAKING, SHE COUNTED AND FOUND OUT SHE HAD MADE 30 LAYERS IN ALL. SHOW THE NUMBER AND TYPES OF CAKES (2-LAYER AND 3LAYER) SHE BAKED. ALSO ,SHOW THW TOTAL COST OF ALL CAKES SHE BAKED.

Answer 1

There are many possible combinations of 2-layer and 3-layer cakes.

First combination
0 2-layer cakes and 10 3-layer cakes, total cost = $30
3 2-layer cakes and 8 3-layer cakes, total cost = $27
6 2-layer cakes and 6 3-layer cakes, total cost = $24
9 2-layer cakes and 4 3-layer cakes, total cost = $21
12 2-layer cakes and 2 3-layer cakes, total cost = $18
15 2-layer cakes and 0 3-layer cakes, total cost = $15