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More Math Word Problems

Algebra Word Problems

More Singapore Math Word Problems

Examples of mixed operations word problems that can be solved in three or more steps. We will illustrate how block diagrams can be used to help you to visualize the word problems in terms of the information given and the data that needs to be found. Block diagrams or block modeling are used in Singapore Math. Block diagrams are also called Tape Diagrams in Common Core.

There were 42 mangoes in each crate. 12 such crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many boxes of mangoes were there?

* Solution:*

**Step 1: **Find the total number of mangoes delivered.

12 × 42 = 504

The total number of mangoes delivered was 504.

**Step 2:** Find the number of remaining mangoes.

504 – 4 = 500

**Step 3:** Find the number of boxes of mangoes.

500 ÷ 10 = 50

There were 50 boxes of mangoes.

*Example:*

There were 9500 spectators at a football match. 6375 of them were men. Of the remaining spectators, there were 4 times as many children as women. How many children were there?

* Solution: *

**Step 1:** Find the number of women and children.

9500 – 6375 = 3125

There were 3125 women and children.

**Step 2: **Find the number of women.

3125 ÷ 5 = 625

There were 625 women.

**Step 3: **Find the number of children.

625 × 4 = 2500

There were 2500 children.

Example:

Claire loves animals. She has three times as many goldfish as she has chickens. She has four more hamsters than chickens. Altogether, she has 49 animals (just goldfish, hamsters and chickens). How many more goldfish does she have than hamsters?

Problem:

Steve collects baseball cards. He has 8 fewer than twice as many Padres cards as Giants cards. He has three times as many Dodgers cards as Giants cards. Altogether, he has 82 cards. How many Padres cards does he have?

Example:

2 tablets and 4 mini-tablets cost a total of $2,480. A tablet and a mini-tablet cost $870 all together. How much does a mini-tablet cost?

Example:

Billy, Robert, and DJ had 210 model cars. Billy had twice as many cars as Robert. Robert had 3 times as many models as DJ. How many model cars did Billy have?

Example:

At the school talent show, 1/3 of the people were boys, 3/6 were girls, and the rest were adults. If there were 50 more girls than adults, how many people were there in total? Example:

Bernardo is 5 times older than Irma. Irma is five years older than Oswaldo. If the sum of their ages is 65 years, how old will Oswaldo be in 7 years?

Example:

Cameron scored 5 times as many points as Lars in a basketball game. Mike scored an amount equal to the 6th multiple of 9. If the 3 boys scored a total of 126 points, how many points did Cameron score?

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