Question

Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made 208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.

Answer 1

Answer:

12 babies, 4 adults

Step-by-step explanation:

1. Write an equation. Let b be the paintings that the babies made, a be the paintings that the adults made, p be the total amount of paintings. 15b+7a=p
2. Substitute values. We know the total was 208. We know that the each baby made 15 paintings. We know that each adult made 7. We also know that there are three times as many babies as adults. That’s the same as saying that the amount of babies is 3a. 15(3a)+7a=208
3. Simplify. Multiply and then add like terms. 52a=208
4. Isolate the variable. Divide both sides by 52. a=4 This means that there are twelve babies by the way.
5. Check if the answer is correct. Replace all a’s in The equation in step two with our answer. 15(3(4))+7(4)=208 becomes 15(12)+28=208, which is further simplified into 180+28=208 and becomes 208=208

The answer is correct. There are 12 babies and 4 adults.