IXL | Guess-and-check problems

Carter has 6 bags of coins. Some of the bags contain 7 gold coins, and the rest contain 4 silver coins. If Carter has 27 coins in all, how many bags of each type of coin does Carter have?

bags of gold coins

bags of silver coins

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Learn with an example

question

Gabby spent 24 cents on turtle and rabbit stickers for her little sister. Turtle stickers cost 3 cents each and rabbit stickers cost 4 cents each. If Gabby bought exactly 7 stickers, how many of each did she buy?

turtle stickers

rabbit stickers

solution

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

Guess #1: 6 turtle stickers and 1 rabbit sticker

Find the number of stickers:

6 + 1 = 7

Find the total cost in cents:

(3 × 6) + (4 × 1) = 18 + 4 = 22

The guess is incorrect. Try another guess.

Guess #2: 2 turtle stickers and 5 rabbit stickers

Find the number of stickers:

2 + 5 = 7

Find the total cost in cents:

(3 × 2) + (4 × 5) = 6 + 20 = 26

The guess is incorrect. Try another guess.

Guess #3: 4 turtle stickers and 3 rabbit stickers

Find the number of stickers:

4 + 3 = 7

Find the total cost in cents:

(3 × 4) + (4 × 3) = 12 + 12 = 24

The guess is correct. Gabby bought 4 turtle stickers and 3 rabbit stickers.

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$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

I.4Multi-step word problems

Evaluate numerical expressions with and without parentheses

M.11Find two numbers based on sum, difference, product, and quotient

N.11Solve word problems using guess-and-check

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