Graphical Approach to solve multi-step problems A salesman had to sell 50 watches for his company every month. For every watch he sold, he earned $34.

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Presentation transcript:

Graphical Approach to solve multi-step problems A salesman had to sell 50 watches for his company every month. For every watch he sold, he earned $34. In addition, he had to buy every unsold watch from his company for $68. If he made $986 at the end of a month, how many watches were not sold that month? Singapore Math Practice Level 5A (Frank Schaefer Publications, 2009)

Graphical Approach to solve multi-step problems A salesman had to sell 50 watches for his company every month. For every watch he sold, he earned $34. In addition, he had to buy every unsold watch from his company for $68. He made $986 at the end of a month, how many watches were not sold that month?

Graphical Approach to solve multi-step problems S: Number of watches sold U: Number of watches not sold, but purchased by the salesman. 50 SU

Graphical Approach to solve multi-step problems S  U  68 Earned $34 for the watches sold. Purchased unsold watches for $68. This reduced the earnings. Made $986 at the end of the month.

Graphical Approach to solve multi-step problems S  U  68 S   34U  2  34 Earned $34 for the watches sold. Purchased unsold watches for $68. This reduced the earnings. Made $986 at the end of the month.

Graphical Approach to solve multi-step problems S 29 U2U2 S   34U  2  34 The ratios are the same Earned $34 for the watches sold. Purchased unsold watches for $68. This reduced the earnings. Made $986 at the end of the month.

Graphical Approach to solve multi-step problems S   34U  2  34 S 29UU Earned $34 for the watches sold. Purchased unsold watches for $68. This reduced the earnings. Made $986 at the end of the month. The ratios are the same

Graphical Approach to solve multi-step problems S 29UU 50 SU Number of watches sold & unsold Amount of money made UU29

Graphical Approach to solve multi-step problems S 29UU 50 U Number of watches sold & unsold Amount of money made UU29 U= 7

Graphical Approach to solve multi-step problems U= 7 Number of watches sold & unsold The number of watches unsold.