IXL - Guess-and-check word problems (Algebra 1 practice)

Allie has 6 bags of beads. Some of the bags contain 9 purple beads and the rest contain 4 white beads. If Allie has 29 beads in all, how many bags of each color bead does Allie have?

bags of purple beads

bags of white beads

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Learn with an example

question

At the aquarium, posters of sharks cost $8 and posters of jellyfish cost $10. Mr. Camacho spent $66 to buy 7 posters. How many of each type of poster did Mr. Camacho buy?

posters of sharks

posters of jellyfish

solution

Use guess-and-check to solve the problem. Guess pairs of numbers that add up to 7.

Guess #1: 3 posters of sharks and 4 posters of jellyfish

Find the number of posters:

3 + 4 = 7

Find the total cost in dollars:

(8 × 3) + (10 × 4) = 24 + 40 = 64

The guess is incorrect. Try another guess.

Guess #2: 6 posters of sharks and 1 poster of jellyfish

Find the number of posters:

6 + 1 = 7

Find the total cost in dollars:

(8 × 6) + (10 × 1) = 48 + 10 = 58

The guess is incorrect. Try another guess.

Guess #3: 2 posters of sharks and 5 posters of jellyfish

Find the number of posters:

2 + 5 = 7

Find the total cost in dollars:

(8 × 2) + (10 × 5) = 16 + 50 = 66

The guess is correct. Mr. Camacho bought 2 posters of sharks and 5 posters of jellyfish.

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