Use the pictograph to answer the question below:
How many BADGE badges did person( PERSON + 1 ) earn?
ANSWER BADGE badges
The key at the bottom of the pictograph shows that each full symbol represents VALUE_PER_IMG badge.
The key at the bottom of the pictograph shows that each full symbol represents VALUE_PER_IMG badges.
Find person( PERSON + 1 )'s row in the table:
There is DATA[PERSON] full symbol and 1 half symbol.There are DATA[PERSON] full symbols and 1 half symbol. The full symbols represent VALUE_PER_IMG badge.The full symbols represent VALUE_PER_IMG badges. The half symbol must represent VALUE_PER_IMG/2 badge.The half symbol must represent VALUE_PER_IMG/2 badges.
DATA[ PERSON ] plural_form(SYMBOL_PL, DATA[ PERSON ] )
\times
VALUE_PER_IMG badge per symbolVALUE_PER_IMG badges per symbol
= DATA[ PERSON ] * VALUE_PER_IMG badge. = DATA[ PERSON ] * VALUE_PER_IMG badges.
1 half symbol \times VALUE_PER_IMG/2 badge per half symbol = VALUE_PER_IMG / 2
badge.
1 half symbol \times VALUE_PER_IMG/2 badges per half symbol = VALUE_PER_IMG / 2
badges.
person( PERSON + 1 ) earned ANSWER BADGE badge.
person( PERSON + 1 ) earned ANSWER BADGE badges.
Who earned VALUE BADGE badge?Who earned VALUE BADGE badges?
The key at the bottom of the pictograph shows that each full symbol represents VALUE_PER_IMG badge.
The key at the bottom of the pictograph shows that each full symbol represents VALUE_PER_IMG badges.
How many symbols are needed to represent VALUE badge?
How many symbols are needed to represent VALUE badges?
\dfrac{VALUE \text{ plural(BADGE_PL, VALUE )}}{VALUE_PER_IMG \text{ POINTS_PER_BADGE}} =
NUM_SYMBOLS \text{ plural_form(SYMBOL_PL, VALUE / VALUE_PER_IMG )}
Who has NUM_SYMBOLS symbol next to his name?Who has NUM_SYMBOLS symbols next to his name?
Who has NUM_SYMBOLS symbol next to her name?Who has NUM_SYMBOLS symbols next to her name?
person( PERSON + 1 ) has NUM_SYMBOLS symbol next to his name.person( PERSON + 1 ) has NUM_SYMBOLS symbols next to his name.
person( PERSON + 1 ) has NUM_SYMBOLS symbol next to her name.person( PERSON + 1 ) has NUM_SYMBOLS symbols next to her name.
person( PERSON + 1 ) earned VALUE BADGE badge.
person( PERSON + 1 ) earned VALUE BADGE badges.
How many more BADGE badges did person( PERSON1 + 1 ) earn than person( PERSON2 + 1 )?
VAL1 - VAL2 BADGE badges
The key at the bottom of the pictograph shows that each full symbol represents VALUE_PER_IMG badge.
The key at the bottom of the pictograph shows that each full symbol represents VALUE_PER_IMG badges.
Find person( PERSON1 + 1 )'s and person( PERSON2 + 1 )'s rows in the table:
person( PERSON1 + 1 ) has PRETTY_SYM_DIFF more symbol next to his name than person( PERSON2 + 1 ) does.
person( PERSON1 + 1 ) has PRETTY_SYM_DIFF more symbols next to his name than person( PERSON2 + 1 ) does.
person( PERSON1 + 1 ) has PRETTY_SYM_DIFF more symbol next to her name than person( PERSON2 + 1 ) does.
person( PERSON1 + 1 ) has PRETTY_SYM_DIFF more symbols next to her name than person( PERSON2 + 1 ) does.
PRETTY_SYM_DIFF plural_form(SYMBOL_PL, SYMBOL_DIFF )
\times
VALUE_PER_IMG badge per symbolVALUE_PER_IMG badges per symbol
= VAL1 - VAL2 badge. = VAL1 - VAL2 badges.
person( PERSON1 + 1 ) earned VAL1 - VAL2 more BADGE badge than person( PERSON2 + 1 ).
person( PERSON1 + 1 ) earned VAL1 - VAL2 more BADGE badges than person( PERSON2 + 1 ).
How many BADGE badges were earned by everyone all together?
TOTAL BADGE badges
Start by counting the total number of BADGE symbols.
There are FULL_SYM symbols and HALF_SYM half symbols.
Each symbol represents VALUE_PER_IMG BADGE badge.Each symbol represents VALUE_PER_IMG BADGE badges.
Each half symbol represents VALUE_PER_IMG / 2 BADGE badge.Each half symbol represents VALUE_PER_IMG / 2 BADGE badges.
FULL_SYM plural_form(SYMBOL_PL, FULL_SYM )
\times
VALUE_PER_IMG badge per symbolVALUE_PER_IMG badges per symbol
= FULL_SYM * VALUE_PER_IMG badge. = FULL_SYM * VALUE_PER_IMG badges.
HALF_SYM half symbolHALF_SYM half symbols
\times VALUE_PER_IMG/2 badge per half symbol \times VALUE_PER_IMG/2 badges per half symbol
= HALF_SYM * VALUE_PER_IMG / 2
badge. = HALF_SYM * VALUE_PER_IMG / 2
badges.
All together, everyone earned TOTAL BADGE badge.
All together, everyone earned TOTAL BADGE badges.